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

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Question 980764: Jason is a salesperson in the electronics department of a store. He is 17% short of his goal for the week. His goal is to earn $600. For each CD player he sells, he earns $51. How many CD players does he need to sell in order to meet his goal
Click here to see answer by macston(5194) About Me 

Question 980807: The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probability that it will weigh less than 904 grams?
Click here to see answer by Boreal(15235) About Me 

Question 980811: The scores on a mathematics exam have a mean of 75 and a standard deviation of 6. Find the x-value that corresponds to the z-score -1.645.
Click here to see answer by solver91311(24713) About Me 

Question 980688: Define a standard normal distribution by identifying its shape and the numeric values for its mean and standard deviation.
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Question 980692: Explain why having a significant linear correlation does not imply causality. Give an example to support your answer.
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Question 980685: The median of a data set is always/sometimes/never (select one) one of the data points in a
set of data. Explain your answer with brief examples.

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Question 980933: A bag consist of eight blue marble and five green marbles.if one marble is drawn,then replaced,and second marble is drawn,determine the probability that:
1 both marbles are blue
2 the first marble is blue and the second marble is green
3 the first marble is green or the second marble is green

Click here to see answer by Fombitz(32388) About Me 

Question 980976: Of the Statistics graduates of a University 30%, received a starting salary of $45,000.00. If 5 of them are randomly selected, find the probability that all the graduated had starting salary of $45,000.00.
Click here to see answer by Boreal(15235) About Me 

Question 981052: 4. Membership in Mensa requires an IQ score above 131.5. Seven candidates take IQ tests, and their summary results indicated that their mean IQ score is 134. (IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.)
a. If 1 person is randomly selected from the general population, find the probability of getting someone with and IQ of at least 134.

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Question 981078: If a drawer has 4 red socks and 4 blue socks
a) if 2 are drawn what is the probability of a match?
b) if 3 are drawn what is the probability of a match?
c) What is the probability of having all one color after 4 draws?
I have this so far..
a) 3/7
P (Red) on first draw = 4/8
P (Red) on second draw = 3/7
4/8 * 3/7 = 12/56
P (Blue) is the same so
12/56 + 12/56= 3/7

b)100% chance
c) no clue what steps to take.
Any help is appreciated!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 981077: At a carnival game you pay $3 for a ticket to spin the wheel and win the amount shown. The odds are listed below:
25% chance win $0
25% chance win $2
50% chance win $5
1.Calculate the expected value for this game according to these directions:
a).Multiply the probability of the event occurring times the payoff for that event.
b).Repeat step 1 for all possible events
c).Sum up all the results from steps 1 and 2
2.Is this a fair game? (Does the amount you pay = what you expect to win)
I am completely lost on this one. Any help is greatly appreciated!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 981077: At a carnival game you pay $3 for a ticket to spin the wheel and win the amount shown. The odds are listed below:
25% chance win $0
25% chance win $2
50% chance win $5
1.Calculate the expected value for this game according to these directions:
a).Multiply the probability of the event occurring times the payoff for that event.
b).Repeat step 1 for all possible events
c).Sum up all the results from steps 1 and 2
2.Is this a fair game? (Does the amount you pay = what you expect to win)
I am completely lost on this one. Any help is greatly appreciated!

Click here to see answer by stanbon(75887) About Me 

Question 981068: A random sample of 40 adults drawn in City 1 had 10 senior citizens. A random sample of 60 adults drawn in City 2 had 20 senior citizens. Can we conclude that the proportion of seniors in the two populations are different? Use significance level of 0.05.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 981085: The hourly rate of janitors in a city had a mean of $15 and standard deviation rate of $3 in the past. In a recent random sample of 36 janitors, the mean hourly rate was 16.5. Perform the test of hypothesis to investigate whether the mean hourly rate for janitors has changed in the city. Use 0.05 level of significance.
Click here to see answer by stanbon(75887) About Me 

Question 981083: Population 1 had a standard deviation of 8 and population 2 had a standard deviation of 10. In a random sample of 30 units from Population 1, the mean was 50. In a random sample of 40 units from Population 2, the mean was 48. Perform a test of hypothesis to investigate whether Population 1 has a greater mean compared to Population 2. Use a significance level of 0.05. Use z as test statistic.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 981097: In a lottery, 10 Ping-Pong balls (each with a digit 0-9) are placed in hopper. One ball is selected and that digit goes in first place. That ball is NOT put back in the hopper and the process is repeated 3 more times. What is the probability of picking the winning 4-digit number?
Thanks in advance!

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Question 981093: Find the number of different ways in which four flags can be displayed on a flagpole one above the other, if there are 10 flags available.
Thanks!

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Question 981084: The old assembly line method for assembling a product had a mean of 40 minutes. With a new assembling line method, for a random sample of 16 unites of the product, the mean assembling time per unit of product is 38 minutes with a sample std. deviation 4 minutes. Using a level of significance of 0.05, test whether the mean time to assemble with the new method is less than that for the old method. Use t as test statistic.
Click here to see answer by Boreal(15235) About Me 

Question 981070: If a drawer has 4 red socks and 4 blue socks
a) If two are drawn what is the probability of a match?
b) If 3 are drawn what is the probability of a match?
c) What is the probability of having all one color after 4 draws?
This is what I have:
A) P (Red) on first draw = 4/8
P (Red) on second draw = 3/7
4/8 * 3/7 = 12/56
P (Blue) is the same so
12/56 + 12/56= 3/7
So answer = 3/7
B) 100% chance.
c) 4/8 +3/7 + 2/6 +1/5 ?
Any help is appreciated!
C) 4/8 + 3/7 + 2/6 + 1/5 ?

Click here to see answer by Boreal(15235) About Me 

Question 981129: What is the meaning of these expressions in probability. 1. At least 2. At most 3. Exactly 4. only
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Question 981169: find 99% confidence interval using numbers 250 and 50
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Question 981159: A sample of 100 is selected from a normal population with a mean of 50 and standard deviation of 5.
There is a 35% chance that the mean will be above what value?

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Question 981166: You wish to estimate with a 95% confidence the population proportion of kids who say red is their favorite color. Estimate must be within 5% of population proportion. Find minimum sample size.
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Question 981117: Lily Energy Systems manufacturer's wood-burning heaters and fireplace inserts. One of its systems has
an electric blower, which is thermostatically controlled. The blower is designed to automatically turn on
when the temperature in the stove reaches 125°F and turn off at 85°F. Complaints from customers indicate
that the thermostat control is not working properly. The company feels that the thermostat is acceptable if
the variance in the cutoff temperature is less than or equal to 175. The company takes a sample of 24
thermostats and finds that the variance equals 289. The calculated chi-square test statistic and the table
value for a 0.05 significance level are
A. 37.983, 38.076.
B. 35.172, 38.99.
C. 37.983, 35.172.
D. 38.076, 38.99.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 981168: The nursing school at Brown University claims that 20% of its graduates are female. In a graduating class of 200 students 24% were females. Use x=0.05. Can you support the schools claim?

H(o)=
H(a)=
test statistic=
left,right, or two tailed?=
p value=
conclusion=

Click here to see answer by Boreal(15235) About Me 

Question 981199: URGENT HELP NEEDED! =)
Alex needs 3 days to do a certain job, Eric needs 4 days to do the same job, and Bob also needs 4 days to do the job. How long will it take Alex, Eric and Bob working together to do the job?

Click here to see answer by josgarithmetic(39613) About Me 

Question 981332: 17% of students enrolled in higher education took at least 1 online course last fall. Choose 5
enrolled students at random. Find the probability that
a. All 5 took online classes.
b. None of the 5 took a course online
c. At least 1 took an online course.
d. At least 1 did not take any online course

Click here to see answer by Boreal(15235) About Me 

Question 981259: A basketball team scored 60 points in the
first game and 50 in the second game. How
many points did the team score in the third
game if their mean score for the 3 games
was 51 points?

Click here to see answer by macston(5194) About Me 

Question 981336: I plan to retire at age of 70, at which time i will withdraw 5000 per month for 20 yrs frm my retitement savings .i also wnt to recieve a final payment of 8000 for a 90th birthday trip to hawaii. Assuming that my funds are invested at 4.7% interest , compounded mnyhly ,how much must i have accumulasted in my retirement savings ?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 981290: In a sample bag of M&M's candy, there are 5 brown, 6 yellow, 4 blue, 3 green, and 2 orange.
What is the probability of getting 3 yellow M&M's if 3 are taken at a time?

Click here to see answer by Boreal(15235) About Me 

Question 981434: I draw 2 cards from a deck. After drawing the first card, I do NOT put the first card back in the deck. What is the probability (rounded to nearest ten thousandth) that both cards are hearts?
I came up with 13/52 + 12/51, but then I am stuck.
Thanks!

Click here to see answer by Fombitz(32388) About Me 

Question 981373: The probability that a person has red hair is 26%. The probability that a person has brown eyes is 72%. A child says that the probability that a person has either red hair or brown eyes is 98%. Is this right? Why or why not?
Click here to see answer by Fombitz(32388) About Me 

Question 981359: A company says that the mean number of hours of sleep employees get is at 6 a night. The number of hours of sleep a random sample of 28 employees got in 1 night is listed below. At. x= 0.05 can you reject the claim?
6.3,4.2,4.1,8.2,3.5,6.4,9.1,6.2,5.8,7.4,5.0,4.0,5.3,4.2,3.1,7.9,8.2,5.3,5.9,4.0,5.1,3.9,5.2,4.5,6.1,5.9,2.9,4.3

H(o)=
H(a)=
test statistic=
left,right,two tailed=
p value=
conclusion=
can you reject the claim?

Click here to see answer by Fombitz(32388) About Me 

Question 981371: How many ways can I choose a five-character password if the first three characters must be chosen from { A, B, C, D } without repetition, and the last two characters must be chosen from the digits 0-9, with repetition ?
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Question 981370: How many distinguishable ways can the letters of the word STATISTICS be written ?

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Question 981366: a machine has 4 components;A,B,C and D for the mqachine to work,both A and D have tro work,and atleast one of B and C has to work.Probvability of A,B,c and D working are 0.8,0.8,0.6 and 0.6 respectively.Assuming that components wok or fail indepedently of each other ,What is the probability that the machine works?
Click here to see answer by Fombitz(32388) About Me 

Question 981147: if x bar equals 75, S equals 24, and n equals 36, and assuming that the population is normally distributed, construct a 95% confidence interval estimate for the population mean.
Click here to see answer by Fombitz(32388) About Me 

Question 981477: A company believes that the annual demand for a product will follow a normal random variable with a mean of 900 pieces and a standard deviation of 60 pieces. If the company produces 1000 pieces, what is the chance that it will run out of the product? Assume that the only way to meet the demand for the product is to use this year's production number.

I don't understand - if they make 1000 pieces, they should always have enough, right? Thanks!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 981479: BMD produces medical implants. To meet specs, the implant ordered must be between 0.995in and 1.005in in diameter. The diameter of the implant follows a normal random variable with a mean of 1in and standard deviation of 0.003in. Rounded to the nearest 0.1%, what fraction of all implants will meet specs?
Thank you for your help!

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Question 981573: Zeus Industries bought a computer for $2681. It is expected to depreciate at a rate of 18% per year. What will the value of the computer be in 4 years?
Round to the nearest penny.

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Question 981571: A radio active isotope decays according to the exponential decay equation where t is in days.
Round to the thousandths place.
For the half life: The half life is the solution (t) of the equation :
a2=ae^−4.132t

Click here to see answer by Boreal(15235) About Me 
Question 981571: A radio active isotope decays according to the exponential decay equation where t is in days.
Round to the thousandths place.
For the half life: The half life is the solution (t) of the equation :
a2=ae^−4.132t

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Question 981569: An anthropologist finds bone that her instruments measure it as 0.824% of the amount of Carbon-14 the bones would have contained when the person was alive. How long ago did the person die?
The half life of carbon 14 is 5,730 years. Round your answer to the nearest thousand.

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Question 981568: The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $1.6 trillion?
Click here to see answer by Boreal(15235) About Me 

Question 981603: Let Z be a standard normal random variable. Calculate the following probabilities:
P ( Z <= -1.56)
P ( Z > -1.07)
P ( 0.88 < Z < 1.37)
I did the last one on a calculator and came up with 0.587. I'm not confident that I did it correctly. All the previous ones in the homework look like this:
P ( Z <= c) = 0.8340. How do I find the probability without the c?

Click here to see answer by stanbon(75887) About Me 

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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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