he hypergeometric probability distribution is used in acceptance sampling. Suppose that a machine shop orders 500 bolts from a supplier. To determine whether to accept the shipment of bolts, the manager of the facility randomly selects 12 bolts. If none of the 12 randomly selected bolts is found to be defective, he concludes that the shipment is acceptable. If 10% of the bolts in the population are defective. What is the probability that none of the selected bolts are defective?

he hypergeometric probability distribution is used in acceptance sampling. Suppose that a machine shop orders 500 bolts from a supplier. To determine whether to accept the shipment of bolts, the manager of the facility randomly selects 12 bolts. If none of the 12 randomly selected bolts is found to be defective, he concludes that the shipment is acceptable. If 10% of the bolts in the population are defective. What is the probability that none of the selected bolts are defective?

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

Related questions

Q: A disease has a prevalence of 11%. A diagnosis has 85% probability of correctly identifying the…

A: Let D=The Person has the disease. Dc=The person doesn't have the disease. P=The person is tested…

Q: 30% of the firm's orders are from first time customers. Consider random sample of 84 orders. Find…

A: Given,n=84p=0.30

Q: Suppose a basketball player makes 56.1% of shots and that the probabilty of making each shot is…

Q: of the parts produced by a particular machine, 0.8% are defective. If a random sample of 7 parts…

A: According to the given information, The probability of success in a trial is :-P = 0.8% =…

Q: #of Occupants 1 2 3 0.70 0.15 0.10 0.03 0.02 What is the mean number of occupants in a vehicle? 45…

A: given data, here data table and their probabilities are given we have to find out the mean for the…

Q: It has been estimated that 30% of post-secondary students switch majors within their first two years…

A: Population: Population consists of the complete subjects that are included in the study for making…

Q: The coach of a running team thinks that 45% of athletes can run a mile in under 7 minutes. A simple…

A: Given problem Given that The coach of a running team thinks that 45% of athletes can run a mile…

Q: If administrators are selected randomly from the faculty, what is the approximate probability that…

A: Given that, No. of teachers = 2000 P(men) = p = 50% = 0.50 P(women) = q = 50% = 0.50 No. of…

Q: 1. Suppose that 20% of the subscribers of a cable TV company watch the shopping channel at least…

A: The proportion subscribers who watch the shopping channel at least once a week, No. of subscribers…

Q: In a country of 80 million people, it is observed that 15% of the population have hearing trouble.…

A: Given : Population, N = 80000000 p = 0.15 Sample size, n = 120 .05

Q: Construct a binomial distribution

Q: Twenty-three percent of U.S. employees who are late for work blame oversleeping. You randomly select…

A: According to the given information in this questionWe need to find the meanOf the binomial…

Q: Of the parts produced by a particular machine, 0.8% are defective. If a random sample of 12 parts…

A: Let the random variable X denote the no. of defective parts and it follows binomial distribution…

Q: The length of a pregnancy is normally distributed with a mean of 268 days and a standard dev of…

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a…

A: Solution: Let X be the average monthly grocery bill for an individual is normally distributed with…

Q: What is the probability that the two sample proportions will differ by more than

A: From the given information, p=6.2%=0.062p1=10.2%=0.102n1=500p2=8.3%=0.083n2=200

Q: The probability of a radar station detecting an enemy plane is 0.55. If 60 stations are in use, what…

A: The binomial distribution is given by, P(X=x) = Cxn . px . qn-x ; x = 0, 1, 2, ....…

Q: 15. An automobile manufacturer collects data on the options chosen by potential purchasers when…

A: For two dependent events A and B, the probability of happening both events A and B is given by the…

Q: The chances of an error occurring in any single line of code is found to be 0.001 (0.1%). If a…

A: Giventhe no. of error occuring in any single line of code is 0.001The no. of error for 500 lines is…

Q: i want 7-11 all ans

A: As per our guidelines I can solve only one question at a time. Kindly post the remaining questions…

Q: Neveah surveys 94 students at random to determine the proportion of students who have attended Mt.…

A: The Sample size is .The population proportion is .The given problem comes under the sampling…

Q: The probability of loosing a game was estimated as 0.6 . What is the probability to win this game?

Q: Should the one-tailed or the two-tailed probability be used to assess performance of the students?

A: The tail of the test depends on the alternative hypothesis of the test. The possible alternative…

Q: etter than those without cats? To help answer this question, a cat enthusiast obtained a random…

A: Do you have a Cat? Yes No How well do you sleep? Good Neutral Bad Good…

Question

100%

Please answer this one with a complete solution. Thank you!

The hypergeometric probability distribution is used in acceptance sampling. Suppose that a machine shop orders 500 bolts from a supplier. To determine whether to accept the shipment of bolts, the manager of the facility randomly selects 12 bolts. If none of the 12 randomly selected bolts is found to be defective, he concludes that the shipment is acceptable. If 10% of the bolts in the population are defective. What is the probability that none of the selected bolts are defective?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Perform the experiment, tally your results, and calculate the probability.Simultaneously toss a coin and roll a die 100 times, and note the outcome of each trial. The possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. Do these appear to be equally likely outcomes?
A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use the facility. A survey of the membership indicates the following distribution: Golf only 270 Tennis only 150 Tennis and golf 150 No facilities 30 Total 600 . Find the probability that a randomly selected member plays golf only. Round your answer to four decimal places. . Find the probability that a randomly selected member does not use any facilities. Round your answer to four decimal places. . Find the probability that a randomly selected member plays golf or tennis. Round your answer to four decimal places.
A hotel manager believes that 10% of the hotel rooms are booked. If the manager is accurate, what is the probability that the proportion of rooms booked in a sample of 454 room would be greater than 9%? Round four decimal places.
For each situation given below, do the following: A) Decide if the random variable is Poisson (or reasonably close to Poisson). Explain your reasoning. B) If it is Poisson, find the mean and variance. C) If it is Poisson, find the probabilities indicated in the problem. 1. During the lunch rush, cars arrive at the McDonald's drive-thru line at a rate of 58 cars per hour. The arrivals are random. a. The probability of 0 cars arriving in the next half hour. b. The probability of more than 60 cars arriving in the next half hour. 2. You work for a home security sales team going door-to-door. You average 4.3 sales per day. a. The probability of no sales in a given day. b. The probability of more than 25 sales during a workweek (5 days). c. The probability of at least 250 sales over a 12 workweek summer. 3. Br. Cox plants a fixed number of bean seeds in each of his garden boxes. He is interested in the number that germinate in a given box. On average, 23 seeds germinate in each box. a. The…
Look at the picture
A genetics experiment involves a population of fruit flies consisting of 2 males named Bart and Christopher and 2 females named Debbie and Elena. Assume that two fruit flies are randomly selected with replacement. ... a. After listing the possible samples and finding the proportion of females in each sample, use a table to describe the sampling distribution of the proportion of females. Proportion of females Probability 0 0.5 1 (Type integers or fractions.) b. Find the mean of the sampling distribution. μ= (Round to two decimal places as needed.) c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of females? If so, does the mean of the sampling distribution of proportions always equal the population proportion? OA. No, the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is a biased estimator. OB. Yes, the sample mean is equal to the population proportion of females. These…
A home security system is designed to have a 99% reliability rate. Suppose that 15 homes equipped with this system experience an attempted burglary. Let x be the random variable denoting the homes equipped with this system experience an attempted burglary out of the 15 homes. a. What is the probability distribution of x? b. Find the probability that no alarms triggered. c. Find the probabilities of at least 8 alarms are triggered. d. Find the mean and variance of x
An economics professional body estimates that 80% of the students taking undergraduate economics courses are in favour of studying of statistics as part of their studies. If this estimate is correct, what is the probability that more than 790 undergraduate economics students out of a random sample of 1000 will be in favour of studying statistics?
3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
Of the parts produced by a particular machine, 1.4% are defective. If a random sample of 9 parts produced by this machine contains 2 or more defective parts, the machine is shut down for repairs. Find the probability that the machine will be shut down for repairs based on this sampling plan. (Give your answer correct to five decimal places.)
Dr. Verde conducted an experiment in which she randomly assigned each subject a colored pencil and then asked them to choose their favorite color. Her results showed that neither the distribution of the assigned pencil colors or the subjects' preferred colors conformed to their expected theoretical probability values. If she repeats the experiment with a much larger sample, how would you expect her results to change and why? Answer in complete sentences. UPLOAD
Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 19 had black hair, 22 had brown hair, and 6 had red hair. Determine the empirical probability that the next person to come to the register has blond hair.