A machine that manufactures automobile pistons is estimated to produce a defective piston 1% of the time. Suppose that this estimate is correct and that arandom sample of 80 pistons produced by this machine is taken.Answer the following.(If necessary, consult a list of formulas.)(a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution(that is, the expectation of the relevant random variable). Do not round your response.(b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your responseto at least three decimal places.

Let p be the probability to produce a defective piston. Given that p = 0.01 Let X denote the number…

Answered: a) Estimate the number of pistons in…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

3. The probability that a person has a received a vaccination for a certain is illness is .48. Assume independence. A survey randomly selects 600 people. c. Describe what the standard deviation you computed in part a. tells you.d. Explain why it would be ok to use a normal distribution to estimate thedistribution of the number of vaccinated people in the survey of 600 people
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. A. The mean is mu equals girl(s). (Round to one decimal place as needed.) B. The standard deviation is sigma equals girl(s). (Round to one decimal place as needed.)
The average price of a college math textbook is $156 and the standard deviation is $30. Suppose that 15 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.a. What is the distribution of x¯? x¯~ N(? , ?) b.For the group of 15, find the probability that the average price is between $151 and $156. c.Find the first quartile for the average textbook price for this sample size. $ ? (round to the nearest cent)
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 260 lbs? Round your answer to three decimal places, eg 0.192.
A waiterbelieves the distribution of his tips has a model that is slightly skewed to the left, with a mean of $8.60 and a standard deviation of $4.20. He usually waits on about 50 parties over a weekend of work. a) Estimate the probability that he will earn at least $450. b) How much does he earn on the best 5% of such weekends?
The average production cost for major movies is 67 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 45 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of x¯? ¯x ~ N? b. For the group of 45 movies, find the probability that the average production cost is between 61 and 64 million dollars. c. For part b), is the assumption of normal necessary? Yes or No
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 252 lbs? Round your answer to three decimal places, eg 0.192.
m&m's are packaged by weight, rather than by number of pieces, but consumers expect to have about 50 peices of candy in a single serving size bag. The number of pieces in a bag is normally distributed with a mean of 52.4 and a standard deviation of 2.2. a. Find the z-score corresponding to a bag with 47 pieces. Round your answer to 2 decimal places. b. Find the probability of a bag containing 47 or fewer pieces. Round your answer to 4 decimal places. c. A customer will be dissatisfied if they purchase a bag that contains fewer than 47 pieces. What percentage of customers will be dissatisfied? Round your answer to 2 decimal places. % The machine that packages the m&m's can be reset to change the average number per bag, although the variability (the standard deviation) will remain the same. What should the average be set to, in order to ensure that fewer than 1% of…
The average production cost for major movies is 69 million dollars and the standard deviation is 18 million dollars. Assume the production cost distribution is normal. Suppose that 8 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of ? ~ N c. For a single randomly selected movie, find the probability that this movie's production cost is between 64 and 70 million dollars. d. For the group of 8 movies, find the probability that the average production cost is between 64 and 70 million dollars. e. For part d), is the assumption of normal necessary? No Yes
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X - the amount of time that person spent at Grover Hot Springs. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. Find the probability that a randomly selected person at the hot springs stays longer then 85 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (1QR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
A population has a normal distribution with a mean of 32.9 and a standard deviation of 35.2. Draw 4. a normal curve with labels, shading, and what you entered into the calculator for full credit. Round your answer to 4 decimal places. Find the probability that a randomly selected item is between 27.5 and 40.6 a) Find the probability that a sample size of 25 is randomly selected and is less than 28.2. b)
The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 6 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected person drinks between 15.7 and 16.1 ounces of coffee per day? d. For the 35 people, find the probability that the average coffee consumption is between 15.7 and 16.1 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary?O NoO Yes f. Find the IQR for the average of 35 coffee drinkers. Q1 ounces Q3 = ounces IQR: ounces II

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS