Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1116858: This is probability. I know I must use binomial distribution and I can figure out this with my TI-84, but I keep getting wrong answers. Here is the question: Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 10 mountain climbers who are going to attempt Mt. McKinley, calculate the following: what is the probability that 4 or fewer will reach the summit
Click here to see answer by Fombitz(32388)   |
Question 1116916: 3.1 It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the
probability that in a sample of 10 drivers:
3.1.1 Exactly 4 will have a medical aid.
3.1.2 At least 2 will have a medical aid.
3.1.3 More than 9 will have a medical aid.
3.2 Sun Couriers, a parcel delivery company, has found that the delivery time of parcels to clients in
the Durban metropolitan area after airport collection is normally distributed with a mean
delivery time equal 45minutes (µ = 45) and a standard deviation of 8 minutes (α=8).
For a newly arrived consignment at Durban airport, what is the probability that a randomly
selected parcel will take: Between 45 and 51 minutes to deliver to the client
Click here to see answer by Boreal(15235)  |
Question 1116849: The distribution of annual earnings of all bank tellers with five years of experience is skewed negatively. This distribution has a mean of Birr 15,000 and a standard deviation of Birr 2000. If we draw a random sample of 30 tellers, what is the probability that their earnings will average more than Birr 15,750 annually?
Required:
Calculate µ and x •
Calculate Z for X•
Click here to see answer by stanbon(75887) |
Question 1117023: A genetic experiment involving peas yielded one sample of offspring consisting of 449 green peas and 138 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 23% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
Click here to see answer by ikleyn(52777)  |
Question 1117048: A coffee shop has a contest. When you
“lift the lid,” you might win a prize.
The probability of winning a prize is .
Suppose your teacher buys one coffee
each day. Find the probability of each
event:
a) Your teacher will win a prize on
each of the first 3 days of the contest.
b) Your teacher will win a prize on the
third day of the contest.
c) Your teacher will not win a prize in
the first 4 days of the contest.
Click here to see answer by ikleyn(52777) |
Question 1116993: The following are all
quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.
6, 6, 9, 8, 6, 7
Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Click here to see answer by Boreal(15235) |
Question 1116866: A university is conducting a survey to study the number of hours students sleep at night during exam week. A sample of 20 students was drawn, and these responses were obtained: 6.5, 5, 8, 5.5, 7, 4, 4.5, 5, 6, 5.5, 4, 7.5, 6, 7, 8, 5, 6, 6.5, 6.5, 5.
The standard deviation of the population mean is 2 hours.
Arrange the steps in the correct sequence to find the range in which 95% of the sample mean occurs.
Click here to see answer by Boreal(15235) |
Question 1117098: Researchers at the European centre for road safety testing are trying to find out how the age of cars affects their braking capability. They test a group of ten cars of differing ages and find out the minimum stopping distance that the cars can achieve. The results are set out in the table below:
2.1 draw catter from the data 2.2 compute spearman's correlation coefficient (rho) 2.3 compute Pearsons correlation coefficient (r)
Click here to see answer by ikleyn(52777) |
Question 1117107: in library shelf there are 5 novels,3 poems and dictionary.if three books are picked at random then how many ways this can be done if
a)there is no restriction.
b)A dicttionary is selected.
c)2 novels and 1 poem are selected.
Click here to see answer by rothauserc(4718)  |
Question 1116915: 1.1 A batch of 5000 electric lamps has a mean life of 1000 hours and a standard deviation of 75
hours. Assuming a normal distribution:
1.1.1 how many lamps will fail before 900 hours?
1.1.2 how many lamps will fail between 950 and 1000 hours?
1.1.3 and given the same mean life, what would the standard deviation have to be to ensure
that not more than 20% of lamps fail before 916 hours?
1.2 Components are placed into bins containing 100. After inspection of a large number of bins the
average number of defective parts was found to be 10 with a standard deviation of 3. Assuming
that the same production conditions continue, except that bins containing 300 were used:
1.2.1 what would be the average number of defective components per larger bin? (5)
1.2.2 what would be the standard deviation of the number of defectives per larger bin?
1.2.3 how many components must each bin hold so that the standard deviation of the number
of defective components is equal to 1% of the total number of components in the bin?
Click here to see answer by Boreal(15235) |
Question 1117126: The weight of oranges growing in an orchard is normally distributed with a mean weight of 5 oz. and a standard deviation of 1.5 oz. Using the empirical rule, determine what interval would represent weights of the middle 68% of all oranges from this orchard.
Click here to see answer by stanbon(75887) |
Question 1116836: How many ways can a class president, vice-president, and secretary be selected from each of the seventh grade and eighth grade to form a junior high student council? The seventh grade has 100 members, and the eighth grade has 80 members.
Click here to see answer by Fombitz(32388) |
Question 1117177: A class of 50 students obtained the following grades in a statistics course:
A 5 B 25 C 15 D 5
If one student is selected at random, what is the probability that
a. the student obtained a B?
b. the student obtained either a B or a C?
c. the student did not obtain a D?
d. the student did not obtain either a B or a C?
Click here to see answer by Boreal(15235) |
Question 1117176: A class of 50 students obtained the following grades in a statistics course:
A 5 B 25 C 15 D 5
If one student is selected at random, what is the probability that
a. the student obtained a B?
b. the student obtained either a B or a C?
c. the student did not obtain a D?
d. the student did not obtain either a B or a C?
Click here to see answer by rothauserc(4718) |
Question 1116625: A survey of patients at a hospital classified the patients by gender and blood type, as seen in the two-way table.
Gender
Blood Type Male Female TOTAL
A 105 93 198
B 99 84 183
O 160 140 300
AB 15 18 33
TOTAL 379 335 714
Referring to the table, What percent of patients with type-B blood are male? Round your answer to the nearest tenth of a percent. Type a numerical answer and please Do not include % or spaces in your answer.
Click here to see answer by Boreal(15235) |
Question 1116616: A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 129 people living in Gastown and finds that 25 have an annual income that is below the poverty line. The proportion of the 129 people who are living below the poverty line, 25/129
Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line
_____,_____
Click here to see answer by Boreal(15235) |
Question 1117249: This is the old Monopoly question but I think the question is ambiguous.
In the game of Monopoly, a player who is in jail can get out of jail by throwing a double on the two dice on any of his or her next 3 turns. Both dice show 1, 2, 3, 4, 5, and 6. What is the probability that a player will get out of jail by throwing a double on the next 3 turns?
I interpreted "by throwing a double on the next 3 turns" as being a double on any of the next 3 turns as you only need to throw one double to get out of jail. But, my friend interpreted as being throwing a double on all three turns.
So, for me, I figured it would be 1/6 * 1/6 * 1/6 = 0.0046
My friend though is arguing it should be 1/6 + 1/6 + 1/6 = 0.5
Right now, we are both chasing our alegrabraic tales and just confusing each other. Thanks so much.
Click here to see answer by greenestamps(13198)  |
Question 1116689: A computer user has downloaded 25 songs using an online file-sharing program and wants to create a CD-R with ten songs to use in his portable CD player. If the order that the songs are placed on the CD-R is important to him, how many different CD-Rs could he make from the 25 songs available to him?
Click here to see answer by Theo(13342)  |
Question 1117343: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event : The sum is greater than 7 .
Event : The sum is not divisible by 3 and not divisible by 5.
Write your answers as exact fractions.
Click here to see answer by stanbon(75887) |
Question 1117343: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event : The sum is greater than 7 .
Event : The sum is not divisible by 3 and not divisible by 5.
Write your answers as exact fractions.
Click here to see answer by solver91311(24713)  |
Question 1117351: Hello! I'm a little confused on one of my problems! Any help is greatly appreciated! Thank you so much! Here is the problem, it's a table. It's shown below:
The gender of five puppies
Gender Frequency
Male 2
Female 3
I believe it's asking the frequency of how many boys vs girls among five puppies. I looked at my class notes and my textbook, and it's not really making sense to me. Any help or guidance is greatly appreciated! Thank you so much!
Click here to see answer by Boreal(15235) |
Question 1117390: The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. Is there evidence that the costs of homes for sale in this subdivision are actually lower than claimed?
What is the p-value for a one-sided test of the data provided above?
Click here to see answer by stanbon(75887) |
Question 1116838: The reading list for a literature class has 7 fiction and 9 nonfiction books. A student is to write a report on 5 books from the list during the semester. The reports must include at least 1 and at most 4 reports of fiction books. In how many ways can the selection of books be made?
Click here to see answer by ikleyn(52777) |
Question 1117422: There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Click here to see answer by ikleyn(52777) |
Question 1117421: An administrator at a large university wants to conduct a survey to estimate the proportion of students who are satisfied with the appearance of the university buildings and grounds. The administrator is considering three methods of obtaining a sample of 500 students from the 70,000 students at the university.
a. Because of financial constraints, the first method the administrator is considering consists of taking a convenience sample to keep the expenses low. A very large number of students will attend the first football game of the season, and the first 500 students who enter the football stadium could be used as a sample. Why might such a sampling method be biased in producing an estimate of the proportion of students who are satisfied with the appearance of the buildings and grounds?
b. Because of the large number of students at the university, the second method the administrator is considering consists of using a computer with a random number generator to select a simple random sample of 500 students from a list of 70,000 student names. Describe how to implement such a method.
c. Because stratification can often provide a more precise estimate than a simple random sample, the third method the administrator is considering consists of selecting a stratified random sample of 500 students. The university has two campuses with male and female students at each campus. Under what circumstance(s) would stratification by campus provide a more precise estimate of the proportion of students who are satisfied with the appearance of the university buildings and grounds than stratification by gender?
Click here to see answer by solver91311(24713) |
Question 1116844: It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the
probability that in a sample of 10 drivers:
3.1.1 Exactly 4 will have a medical aid. (8)
3.1.2 At least 2 will have a medical aid. (8)
3.1.3 More than 9 will have a medical aid. (9)
3.2 Sun Couriers, a parcel delivery company, has found that the delivery time of parcels to clients in
the Durban metropolitan area after airport collection is normally distributed with a mean
delivery time equal 45minutes (µ = 45) and a standard deviation of 8 minutes (α=8).
For a newly arrived consignment at Durban airport, what is the probability that a randomly
selected parcel will take: Between 45 and 51 minutes to deliver to the client (10)
Click here to see answer by Fombitz(32388) |
Question 1117477: In a statistics class 45 of students,14 have volunteered for community service in the past. If two students are selected at random from this class, what is the probability that both of them have volunteered for community service?
p(both students have volunteered for community service)
Click here to see answer by stanbon(75887) |
Question 1117419: Margaret manages a fast food restaurant and she is concerned about customers who ask for a water cup when placing an order but fill the cup with a soft drink from the beverage fountain instead of filling the cup with water. She selected a random sample of 90 customers who asked for a water cup when placing an order and found that 33 of those customers filled the cup with a soft drink from the beverage fountain.
a. Construct 95 percent confidence interval for the proportion of all customers who, having asked for a water cup when placing an order, will fill the cup with a soft drink from the beverage fountain. Write a sentence interpreting the interval you found.
b. Margaret believes that each customer who asks for a water cup, but fills it with a soda costs the restaurant $0.25. Suppose that in the month of April 3,000 customers ask for a water cup when placing an order. Use the confidence interval constructed in part (a) to give an interval estimate for the cost to the restaurant for the month of June from the customers who ask for a water cup but fill the cup with a soda.
c. If she can provide strong evidence that more than 30% of the customers who ask for a water cup actually fill the cup with soda, the restaurant will move the soda machine behind the counter and not let customers “self serve” and risk alienating customers. Should they move the soda machine?
Click here to see answer by stanbon(75887) |
Question 1117420: The following are the P/E ratios (price of stock divided by projected earnings per share) for 17 banks.
50, 19, 38, 17, 22, 22, 22, 22, 19, 14, 18, 43, 29, 24, 15, 18, 20
Find 25th and 70th percentiles for these ratios.
Click here to see answer by stanbon(75887) |
Question 1116623: Refer to the completed table. What percent of all children like the Simpsons? Round your answer to the nearest tenth of a percent. Type a numerical answer for the answer. Do not include % or spaces in the answer, please.
LONE RANGER SESAME STREET SIMPSONS
BOYS 50 30 20
GIRLS 50 80 70
TOTAL 100 110 90
Click here to see answer by greenestamps(13198) |
Question 1116623: Refer to the completed table. What percent of all children like the Simpsons? Round your answer to the nearest tenth of a percent. Type a numerical answer for the answer. Do not include % or spaces in the answer, please.
LONE RANGER SESAME STREET SIMPSONS
BOYS 50 30 20
GIRLS 50 80 70
TOTAL 100 110 90
Click here to see answer by josgarithmetic(39617) |
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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, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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