Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 924488: The average monthly cellular bill is $73. Suppose local monthly household call phone bills are normally distributed with a standard deviation of $11.35.
a. What is the probability that a randomly selected monthly cell bill is less than $100
b. what is the probability that a randomly selected monthly cell bill is between $70 and $90.
Click here to see answer by ewatrrr(24785)   |
Question 924510: Alice randomly selects a number from 1 to 10 out of a hat six times in a row. On each turn she will select one number and then return it to the hat before making the next selection. How many different ways can she select the 6 numbers so that on the first turn she selects a prime number, on the second turn she selects a non-prime number, on the third turn she selects a non-prime number, on the fourth turn she selects any number, on the fifth turn she selects a number less than 7, and on the last turn she selects an odd number
Click here to see answer by ewatrrr(24785) |
Question 924525: The weight of people that fly between San Francisco and Seattle is 180 lb on average, with a standard deviation of 29 lb.
a. What is the chance that the total weight of 36 people on such a flight will be above 6600lb?
b. What is the probability that the average weight of the 36 people on the flight will be at most 176 lb?
Click here to see answer by ewatrrr(24785) |
Question 924481: 3. A set of final exam scores in an introductory statistics course is normally distributed with a mean of 73 and a standard deviation of 8.
If this professor grades on a curve and gives A’s to the top 10% of the class regardless of the score, is the student better off with a score of 81 on this exam or a grade of 68 on a different exam from the same professor where the mean is 62 and the standard deviation is 3?
Click here to see answer by ewatrrr(24785) |
Question 924480: Jack has a pin number that he uses to access his bank account. His code consists of 5 different numbers from 0 to 9. What is the probability that someone could guess his code? A.1/6048 B.1/30240 C.1/25 D.1/151200
Click here to see answer by ewatrrr(24785) |
Question 924483: A research firm needs to estimate within 3% the proportion of junior executives leaving large manufacturing companies within three years. A 0.95 degree of confidence is to be used. Several years ago, a study revealed that 21% of junior executives left their company within three years. To update this study, how many junior executives should be surveyed?
Click here to see answer by ewatrrr(24785) |
Question 924472: Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 217.51 minutes?
Click here to see answer by ewatrrr(24785) |
Question 924538: A soda company want to stimulate sales in this economic climate by giving customers a chance to win a small prize for every bottle of soda they buy. There is a 20% chance that a customer will find a picture of a dancing banana ( ) at the bottom of the cap upon opening up a bottle of soda. The customer can then redeem that bottle cap with this picture for a small prize. Now, if I buy a 6-pack of soda, what is the probability that I will win something, i.e., at least win a single small prize?
Click here to see answer by ewatrrr(24785) |
Question 924543: Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time between pitches. His times between pitches are normally distributed with a mean of 36 seconds and a standard deviation of 3.0 seconds. What percentage of his times between pitches is longer than 40.20 seconds?
Click here to see answer by ewatrrr(24785) |
Question 924609: Elaine gets quiz grades of 67, 64, and 87. She gets a 84 on her final exam. Find the weighted mean if the quizzes each count for 15% and the final exam counts for 55% of
the final grade.
A) 78.9 B) 72.1
C) 78.3 D) 75.5
Click here to see answer by ewatrrr(24785) |
Question 924700: bill is taking a 10-question multiple choice exam. each question has 5 answers, of which only one is correct. since bill has missed every class, he doesn't know any of the answers and decides to guess on all 10 questions. find the probability that bill will answer at least half of the question correctly.
Click here to see answer by stanbon(75887) |
Question 924701: Thirty-five small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 44.5 cases per year.
(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
lower limit
Incorrect: Your answer is incorrect.
upper limit
Incorrect: Your answer is incorrect.
margin of error
Incorrect: Your answer is incorrect.
(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
lower limit
upper limit
margin of error
(c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
lower limit
upper limit
margin of error
Click here to see answer by stanbon(75887) |
Question 924830: the following table gives the number of good and bad machine parts produced by each of three shifts in a factory
Shift Good Bad
Day 900 130
Evening 700 170
Night 400 200
Is there any association between the shift and the equality of parts
produced? Given X2^2;0.05=5.991
Click here to see answer by ewatrrr(24785) |
Question 924880: In a particular examination, taken by thousands of candidates, 80 percent of the candidates pass. For a random sample of seven candidates, obtain the probability that:
ai). Exactly 5 pass the examination
aii). Fewer than half pass the examination
For part ai I completed a binomial distribution
X~B(7, 0.8)
7C5 x 0.8^5 x 0.2^2 = 0.275 (to 3 sig fig)
I dont know how to attempt the next one because how do I do half of 7 people?
Thanks ahead for the response
Click here to see answer by ewatrrr(24785) |
Question 924893: A student has taken two math tests. On the first, he received a score of 46 out of 50 questions correct, and on the second, he received a score of 27 out of 30 questions correct. What is the experimental probability that the student answered a question correctly?
Click here to see answer by ewatrrr(24785) |
Question 924962: Assume that the mean hourly cost to operate a commercial airplane follows the normal distribution with a mean of $2,000 per hour and a standard deviation of $285.
What is the operating cost for the lowest 5 percent of the airplanes? (Round z value to 2 decimal places. Omit the "$" sign in your response.)
Operating cost?
Click here to see answer by ewatrrr(24785) |
Question 924978: Dottie's Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns she prepared indicated that an error was made on 12 percent of the returns she prepared last year. Assuming this rate continues into this year and she prepares 52 returns. What is the probability that she makes errors on:
(a)
More than 6 returns? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Probability
(b)
At least 6 returns? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Probability
(c)
Exactly 6 returns? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Probability
thank you for all of your help!
Click here to see answer by ewatrrr(24785) |
Question 924989: A researcher for Agri-Giant Corporation wants to study how many pounds of tomatoes are typically picked by a manual labourer in an 8-hour day. The Corporation will consider using picking machines if the labourers cannot pick at least 240 pounds, on average. The researcher randomly sampled 100 farm labourers, found out how many pounds of tomatoes each picked and calculated the sample mean and standard deviation.
Part b) In testing a hypothesis about a parameter of interest, what would your null hypothesis be?
A) The mean number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift is greater than 240 pounds.
B) The total number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift is less than 240 pounds.
C) The mean number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift is 240 pounds.
D) The total number of pounds of tomatoes typically picked by a manuallabourer in an 8-hour shift is greater than 240 pounds.
E) The total number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift is different from 240 pounds.
F) The total number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift is 240 pounds.
G) The mean number of pounds of tomatoes typically picked by a manual labourer in an 8-hour shift is less than 240 pounds.
So I am not quite sure how the null hypothesis is defined in this question ( same for alternate).
In the original question, when they state "The Corporation will consider using picking machines if the labourers cannot pick at least 240 pounds, on average." does that imply the Ho: mean is greater than or equal to 240 while Ha: mean less than 240?
I assumed that Ha is the "change", so the corporation picking machines would signify the Ha as being less than 240 pounds? (So my guess was A)
I am just so confused with how to identify the null & alternate hypotheses. Any explanations would be appreciated! Thank you.
Click here to see answer by stanbon(75887) |
Question 925042: Assume the fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and standard deviation of 0.03 liter. What is the probability that a randomly selected bottle contains more than 1.94 liters? Use the Empirical Rule
Click here to see answer by stanbon(75887) |
Question 925088: Carmen, a computer sales representative, believes that the odds are 8 to 5 that she will clinch the sale of a minicomputer to a certain company. What is the (subjective) probability that Carmen will make the sale?
Click here to see answer by ewatrrr(24785) |
Question 925213: Twenty-six slips of paper are each marked with a different letter of the alphabet and placed in a basket. A slip is pulled out, its letter recorded (in the order in which the slip was drawn), and the slip is replaced. This is done 5 times. find the probability that a word starts with "p"
Click here to see answer by Fombitz(32388)  |
Question 925225: Of the people who enter a large shopping mall, it has been found that 70 percent will make at least one purchase. For sample of n= 50 individuals, what is the probability that at least 40 people make one or more purchases each?
Click here to see answer by ewatrrr(24785) |
Question 925287: Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week.
-.10
-.20
.00
-.32
-.30
-.23
.20
.25
-.10
-.37
-.61
.40
.30
-.64
-.10
.20
-.68
-.20
(a-1)
Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .02 significance level. At a level of .02 significance, we reject H0: μ = 0 if t < ______ or t > _____. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(a-2) The value of the test statistic is _____ . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
Click here to see answer by ewatrrr(24785) |
Question 925347: suppose that on the average 2 person in 1000 make a numerical error in preparing
his income tax return,if 10,000 form are selected at random and examined.find the probability that 6 of the form contain error . ?
Click here to see answer by ewatrrr(24785) |
Question 925344: At Jen and Perry Ice Cream Company, the machine that fills 1-pound cartons of Top Flavor ice cream is set to dispense 12 ounces of ice cream into every carton. However, some cartons contain slightly less than and some contain slightly more than 12 ounces of ice cream. The amounts of ice cream in all such cartons have a normal distribution with a mean of 12 ounces and a standard deviation of 0.24 ounce.
Find the probability that a randomly selected carton contains 12.1488 to 12.1968 ounces of ice cream. Round your answer to four decimal places.
Click here to see answer by ewatrrr(24785) |
Question 925322: A company finds that one out of three employees will be late to work on a given day. If this company has 42 employees, find the probabilities that the following number of people will get to work on time. (Round your answers to 4 decimal places.)
(b) At least 24 workers but fewer than 34 workers.
Click here to see answer by ewatrrr(24785) |
Question 925371: An electronics firm believes that 70% of the new products they market will be successful. if the company markets 80 products in the next 5 years, find the probability that in that time:
A) at least 60 products will be successful
B) at most 50 products will be successful.
C) between 55 and 59 products, inclusive, will be successful.
Click here to see answer by ewatrrr(24785) |
Question 925377: In one city, the probability that a person will pass his or her driving test on the first attempt is 0.67. 11 people are selected at random from among those taking their driving test for the first time. What is the probability that among these 11 people, the number passing the test is between 2 and 4 inclusive.
Click here to see answer by ewatrrr(24785) |
Question 925391: A local group claims that the police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select one month. Their research yields the number of
tickets issued for each day. The data are listed below. At = 0.01, test the group's claim
70 48 41 68 69 55 70 57 60 83
32 60 72 58 88 48 59 60 56 65
66 60 68 42 57 59 49 70 75 63
44
Click here to see answer by ewatrrr(24785) |
Question 925519: A car dealership is interested in finding out how many people are considering buying a new car. How many people
must be surveyed so they can be 99% confident that the sample proportion is within three percentage points of the
true proportion?
Click here to see answer by stanbon(75887) |
Question 925533: For a particular brand of TV picture tube, it is known that the mean operating life of the tubes is μ = 9000 hours with a standard deviation of σ = 500 hours. Determine the expected value and standard error of the sampling distribution of the mean given sample size of n = 25. Interpret the meaning of the computed values.
Click here to see answer by stanbon(75887) |
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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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