Questions on Algebra: Probability and statistics answered by real tutors!

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1026509: Dave gave a six question quiz to his Statistics students. The students were talented, and no one scored below a 4. Half the students scored 4, 40% scored 5, and 10% scored 6. Compute the variance of this distribution (round answer to one decimal place).
Click here to see answer by robertb(5830)

Question 1026485: What are the odds against choosing a prime number or a number divisible by 9 from 1 to 50
Click here to see answer by robertb(5830)

Question 1026541: Calculate the value for (n n-1)
One parenthetical encompasses both of them, and the n-1 is under the n. This is the Binomial Theorem.

Click here to see answer by robertb(5830)

Question 1026542: This is in the binomal theorem section.
Suppose that a set has an odd number of elements. Explain why half of the subsets will have an odd number of elements.

Click here to see answer by Edwin McCravy(20054)

Question 1026437: Shell has recently signed a sale and purchase agreement (SPA) with XTRA Pty Ltd. to acquire 100 percent interest in TANVA Oilfield in Production License offshore Western Australia for $20 million. At the moment, oil from the field is produced from horizontal wells and processed through a fixed central production facility platform with 50,000 barrels per day capacity. Oil is then transported by pipeline to the floating storage offloading (FSO) facility and loaded to shuttle tankers for North Asian customers. It is crunch time over the next few days as Shell rallies its investors for the green light on the purchase. Assume that the voting power is only limited to a few trusted and institutional shareholders. The decision requires a simple majority of the seven decision-making shareholders. If each is believed to have a 0.35 probability of voting yes on the purchase, what is the probability that the oilfield will be purchased by Shell? Currently each share of Shell is traded for 2.13 USD. After the successful purchase of the oilfield, the stock price of Shell has 0.75 probability of going up next year. However, if the company does not purchase the oilfield, its stock has only 0.15 probability of increasing in value. What is the probability of Shell�s share price going up next year?. As an investor who only invests in companies with greater than 25% probability of share price growth in one year, will you invest in this company? Elaborate your answer.
Click here to see answer by ikleyn(52752)

Question 1026475: Compute the probability of event E if the odds in favor of E are 30 to 19
Click here to see answer by robertb(5830)

Question 1026448: A pair of dice is rolled. Let P denote the event �the sum shown is 8� and Q the event �the two dice show the same number�. Find (i) P(P/Q) (ii) P(Q/P)
Click here to see answer by robertb(5830)

Question 1026375: The Admissions officer for the graduate programs at the University of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1300. An accepted standard deviation for LSAT scores is 125. A random sample of 25 scores had an average of 1375.
c) Calculate the p-value.
Click here to see answer by robertb(5830)

Question 1026590: Teesha is in a french club. There are 19 students in the club. The french teacher will pick two students at random to guide visiting students from france. What is the probability teesha will not be picked as a guide.
Thank you
Click here to see answer by stanbon(75887)

Question 1026526: A box has 10 marbles, 3 of which are white and 7 of which are red. A sample of 4 marbles is selected randomly from the box without replacement.
What is the probability that exactly 2 are white and 2 are red? (Enter your answer as an exact fraction.)
What is the probability that at least 2 of the marbles are white? (Enter your answer as an exact fraction.)

Click here to see answer by stanbon(75887)

Question 1026611: Suppose ACT Mathematics scores are normally distributed with a mean of 20.8 and a standard deviation of 5.4. A university plans to admit students whose scores are in the top 30%. What is the minimum score required for admission?
Click here to see answer by Boreal(15235)

Question 1026529: What is the probability answer for these five question below? Please explain how you arrive at your answers please, so I can see how to work them for myself. Thank you for your help.

5. What is the probability of scoring 1 point?
Rectangle -1 = 24 x 30
Area = l x w
Area = 720 square inches
6. What is the probability of scoring 2 points?
Rectangle -2 = 12 x 30
Area = l x w
Area = 360 square inches
7. What is the probability of scoring 3 points?
Rectangle -3 = 12 x 30
Area = l x w
Area = 360 square inches
8. What is the probability of scoring 4 point?
Rectangle -4 = 12 x 15
Area = l x w
Area = 180 square inches
9. What is the probability of scoring 5 point?
Rectangle -5 = 12 x 7.5
Area = l x w
Area = 90 square inches
10. What is the probability of scoring at all (any number of points)?
Area = l x w
Area = 180 * 30
Area = 5400 square inches

Click here to see answer by Alan3354(69443)

Question 1026621: An experiment consists of rolling two fair dice and adding the dots
on the two sides facing up.assuming each simple event is as likely
as any other, find the probability that the sum of the dots is not
2, 4, or 6.
Click here to see answer by Edwin McCravy(20054)

Question 1026618: to compute the probability of the following outcome when rolling a pair of dice: The number on the first die is even or the number on the second die is even
Click here to see answer by robertb(5830)

Question 1026625: You draw a sample from the population of a town (n=312) and find out that of this sample, 23% are highly educated and 27% are low-educated. What is the 80% confidence level for the proportion of highly educated people in this town?
Click here to see answer by stanbon(75887)

Question 1026631: The Admissions officer for the graduate programs at the University of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1300. An accepted standard deviation for LSAT scores is 125. A random sample of 25 scores had an average of 1375.
c) Calculate the p-value.
Click here to see answer by stanbon(75887)

Question 1026632: A region is prone to flooding once every 20 years the probability of flooding in any on year is 1/20. What is the probability of flooding for three consecutive years?
Click here to see answer by stanbon(75887)

Question 1026629: Suppose GRE Verbal scores are normally distributed with a mean of 459 and a standard deviation of 120. A university plans to offer tutoring jobs to students whose scores are in the top 14%. What is the minimum score required for the job offer?
Click here to see answer by stanbon(75887)

Question 1026619: In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 � 25. Compute the probability that the number drawn is less than 6 or greater than 19.
Click here to see answer by stanbon(75887)

Question 1026633: The lengths of nails produced in a factory are normally distributed with a mean of 6.02 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 9% and the bottom 9%. These lengths could serve as limits used to identify which nails should be rejected
Click here to see answer by stanbon(75887)

Question 1026636: One card is randomly selected from a deck of 52 cards. Find the probability of selecting a black card or a picture card?
Click here to see answer by jim_thompson5910(35256)

Question 1026440: This applet carries out tests at a fixed significance level.
When you arrive, the applet is set for the cola tasting test of Example 18.6.
That is, the hypotheses are
H0 : μ = 0
Ha : μ > 0
We have an SRS of size 10 from a Normal population with standard deviation σ = 1, and we will do a test at level α = 0.05.
At the bottom of the screen, a button allows you to choose a value of the mean μ and then to generate samples from a population with that mean.
Step 1:
Set μ = 0, so that the null hypothesis is true.
Each time you click the button, a new sample appears.
If the sample x lands in the colored region, that sample rejects H0 at the 5% level.
Click 100 times rapidly, keeping track of how many samples reject H0.
Use your results to estimate the probability of a Type I error.
If you kept clicking forever, what probability would you get?
Give your answer to 2 decimal places.
Step 2:
Now set μ = 0.8. Example 18.6 shows that the test has power 0.812 against this alternative. Click 100 times rapidly, keeping track of how many samples fail to reject P 0. Use your results to estimate the probability of a Type II error. If you kept clicking forever, what probability would you get?

Click here to see answer by ikleyn(52752)

Question 1026462: Assignment 2: Analyzing with ANOVA
Submit your answers to the following questions using the ANOVA source table below. The table depicts a two-way ANOVA in which gender has two groups (male and female), marital status has three groups (married, single never married, divorced), and the means refer to happiness scores (n = 100):
What are the independent variables and their levels? What is the dependent variable?
State all null hypotheses associated with independent variables and their interaction? Also suggest alternate hypotheses?
What are the degrees of freedom for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance?
Calculate the mean square for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance.
Calculate the F ratio for 1) gender, 2) marital status, and 3) interaction between gender and marital status.
Identify the critical Fs at alpha = .05 for 1) gender, 2) marital status, and 3) interaction between gender and marital status.
If alpha is set at .05, what conclusions can you make?
Source Sum of Squares (degrees of freedom [df]) Mean Square Fobt. Fcrit.
Gender 68.15 ? ? ? ?
Marital Status 127.37 ? ? ? ?
Gender * Marital Status (A x B) 41.90 ? ? ? ?
Error (Within) 864.82 ? ? NA NA
Total 1102.24 99 NA NA NA
Please Note: The table that you see in the assignment has been slightly modified from the one presented in the module notes since it is beyond the scope of this unit to have students calculate p values. Instead you are asked to calculate the F value and compare it to the critical F value to determine whether the test is significant or not.
By Wednesday, March 23, 2016, deliver your assignment to the M4: Assignment 2 Dropbox.
Assignment 2 Grading Criteria
Maximum Points
Correctly identified the independent and dependent variables.
4
Provided appropriate null and alternative hypotheses.
8
Correctly identified the degrees of freedom for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance.
8
Correctly calculated the mean square for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance.
20
Correctly calculated the F ratio for 1) gender, 2) marital status, and 3) interaction between gender and marital status.
16
Correctly identified the critical Fs at alpha = .05 for 1) gender, 2) marital status, and 3) interaction between gender and marital status.
16
Provided the correct conclusion based on alpha = .05.
8
Wrote in a clear, concise, and organized manner; demonstrated ethical scholarship in accurate representation and attribution of sources; displayed accurate spelling, grammar, and punctuation.
20
Total:
100

Click here to see answer by ikleyn(52752)

Question 1026356: The credit score of a 35 year old applying for a mortgage at Ulysses Mortgage Associates is normally distributed with a mean of 600 and a standard deviation of 100. Determine the interval of credit scores around the mean that includes approximately 68% of credit scores. Lower Bound and Upper Bound
Determine the interval of credit scores around the mean that includes approximately 95% of credit scores.Lower Bound and Upper Bound
Click here to see answer by solver91311(24713)

Question 1026627: A trucking firm suspects that the mean lifetime of a certain tire it uses is less than 36,000 miles. To check the claim, the firm randomly selects 54 of these tires and gets a mean lifetime of 35,630 miles with a population standards deviation of 1200 miles. At alpha=0.05, test the trucking firms claim.
Click here to see answer by Theo(13342)

Question 1026650: The object is to start with the letter A on top and to move down the diagram to the C at the bottom. From any given letter, move only to one of the letters directly below it on the left or right. If these rules are followed, how many different paths spell ALGEBRAIC?
The first row is a single A.
The second row contains two L's.
The third row: 3 G's.
The fourth row: 4 E's.
The fifth row: 5 B's.
The sixth row: 4 R's.
The seventh row: 3 A's.
The eight row: 2 I's.
The ninth row: 1 C.
The shape produces a diamond.
Click here to see answer by Edwin McCravy(20054)

Question 1026196: Many backyard gardeners prefer Silver Queen Hybrid corn. The temperature of the soil should be ay least 65 degrees before planting and the growing time is approximately normal with mean 92 days and standard deviation 5 days.
Suppose a row in a backyard garden contains 12 plants. What is the probability that four will be ready for dinner by the 95th day?
Click here to see answer by robertb(5830)

Question 1026634: Explain the steps for finding the t-distribution critical values if the sample standard deviation is given. Let alpha=.05 and n=26, and it is two-tailed.
Click here to see answer by stanbon(75887)

Question 1026503: how do I find confidence level if n=1028 and X=5296 with 99%Confidence level please show work .thank you

Click here to see answer by stanbon(75887)

Question 1026706: On December 25, 2009, an airline passenger was subdued while attempting to blow up a Northwest Airlines flight headed for Detroit, Michigan. The passenger had smuggled explosives hidden in his underwear past a metal detector at an airport screening facility. As a result, the Transportation Security Administration (TSA) proposed installing full-body scanners to replace the metal detectors at the nation�s largest airports. This proposal resulted in strong objections from privacy advocates who considered the scanners an invasion of privacy. On January 5-6, 2010, USA Today conducted a poll of 542 adults to learn what proportion of airline travelers approved of using full-body scanners (USA Today, January 11, 2010). The poll results showed that 455 of the respondents felt that full-body scanners will improve airline security and 423 indicated that they approved of using the devices.
a) Conduct a hypothesis test to determine if the results of the poll justify concluding that over 80% of airline travelers feel that the use of full-body scanners will improve airline security. Use α = 0.05.
b) Suppose the TSA will go forward with the installation and mandatory use of full-body scanners if over 75% of airline travelers approve of using the devices. You have been told to conduct a statistical analysis using the poll results to determine if the TSA should require mandatory use of the full-body scanners. Because this is viewed as a very sensitive decision, use α = 0.01. What is your recommendation?
Answers:
Ho: p ≤ 0.80
Ha: p > 0.80
Conclude that airline travelers feel security will be improved
b) Cannot reject Ho; mandatory use is not recommended
Click here to see answer by stanbon(75887)

Question 1026628: The US Energy Information Association claims that the mean monthly residential electricity consumption in your town is more than 874 kilowatt hours. You want to test this claim. You find that a random sample of 64 residential customers have an average monthly electricity consumption of 905 kilowatt hours. Assume that population standard deviation is 125 kilowatt hours. At alpha=0.05, do you have enough evidence to support the associations claim?
a. show the null and alternative hypotheses, show which is the claim.
b. find the critical values and identify the rejection on a bell curve
c. find the test statistic z
d. decide whether to reject the null or fail to reject the null
e. interpret the decision in the context of the original claim
Click here to see answer by rothauserc(4718)

Question 1026713: How many 3-digit area codes are possible, assuming that the first digit cannot be a 1 or a 0?
Click here to see answer by mathmate(429)

Question 1026712: create a password for one of her Internet accounts using some portion of her street name, which is �soundview.�
If the password is restricted to 5 characters, how many different passwords can she create?
Click here to see answer by ikleyn(52752)

Question 1026710: Jane wants to create a password for one of her Internet accounts using some portion of her street name, which is �soundview.� If the password is restricted to 5 characters, how many different passwords can she create?
Click here to see answer by mathmate(429)

Question 1026685: how many four digit codes can be formed using the digits 0,1,2,3,4,5,6,7,8,9 if the last digit
cannot be 0 or 1 or 2 and repetition of digits is allowed?
Click here to see answer by ikleyn(52752)

Question 1026682: 25% of all classmates find this puzzle difficult. You select four random classmates. What is the probability that exactly two of them find this puzzle difficult?
Click here to see answer by mathmate(429)

Question 1026684: suppose that a={1,3,5,7,9}, b={1,3,7}, and u={1,2,3,4,5,6,7,8,9}. list the elements of each indicated set.
- UuA'
Click here to see answer by ikleyn(52752)

Question 1026702: Suppose that the average annual revenue of a small business is $150 000 with a standard deviation of $40 000. Assume that the revenue distribution is normal.
a) What is the probability that one business selected at random makes less than $120 000?
b) What is the probability that the average annual revenue of a random sample of 4 businesses is less than $120 000?
Click here to see answer by stanbon(75887)

Question 1026700: A random sample of 10 university students was surveyed to determine the amount of time spent weekly at the library. The times are: 13, 14, 5, 6, 8, 10, 7, 12, 15, and 3. If the times are normally distributed with a standard deviation of 5.2 hours, estimate with 90% confidence the mean weekly time at the library by all university students.
Click here to see answer by stanbon(75887)

Question 1026756: Fifty seeds were selected random from each......
Click here to see answer by FrankM(1040)

Question 1026698: The heights of men in the Canada are normally distributed with a mean of 68 inches and a standard deviation of 4 inches.
a) What is the probability that a randomly selected man is taller than 70 inches?
b) A random sample of five men is selected. What is the probability that the sample mean is greater than 70 inches?
c) What is the probability that the mean height of a random sample of 36 men is greater than 70 inches?
Click here to see answer by stanbon(75887)

Question 1026812: In how many ways can the digits from 0 to 5 be arranged three at a time?
Click here to see answer by ikleyn(52752)

Question 1026699: A muffler company advertises that you will receive a rebate if it takes longer than 30 minutes to replace a muffler. Experience has shown that the time taken to replace a muffler is approximately normally distributed with a mean of 25 minutes and a standard deviation of 2.5 minutes.
a) What proportion of mufflers take between 22 and 26 minutes to replace?
b) What should be the rebate time of 30 minutes be changed to if the company wishes to provide only 1% of customers with a rebate?
Click here to see answer by Theo(13342)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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