manufacturer receives a lot of 100 parts from a vendor. The lot will be unacceptable if more than five of the parts are defective. The manufacturer is going to select randomly n of the parts for inspection, and the lot will be accepted if no defective parts are found in the sample. (a) If there are 8 defectives in the lot and n = 10, what is the probabilty that the lot will be rejected? (b) How large does n have to be to ensure that the probability that the manufacturer accepts an unacceptable lot is less that 0.10? (c) Suppose the maufacturer decides to accept the lot if there is at most one defective in the sample. How large does n have to be to ensure that the probability that the manufacturer accepts an unacceptable lot is less than 0.10?

manufacturer receives a lot of 100 parts from a vendor. The lot will be unacceptable if more than five of the parts are defective. The manufacturer is going to select randomly n of the parts for inspection, and the lot will be accepted if no defective parts are found in the sample. (a) If there are 8 defectives in the lot and n = 10, what is the probabilty that the lot will be rejected? (b) How large does n have to be to ensure that the probability that the manufacturer accepts an unacceptable lot is less that 0.10? (c) Suppose the maufacturer decides to accept the lot if there is at most one defective in the sample. How large does n have to be to ensure that the probability that the manufacturer accepts an unacceptable lot is less than 0.10?

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. Five people, including you and a friend, line up in a random order. Let X count the number of people in the line standing in between you and your friend. (a) Find the pmf px(x) by constructing a neat, organized table of values. Express your answers as fractions in lowest terms. (Note that a waiting line is ordered. Permutations are needed here.) (b) Find Var (X). Express your answer as a decimal.
In a study of pain relievers, 100people were given product A, and 74 experienced relief. In the same study, 25 people were given product B, and 16 experienced relief.Fill in the blanks below to make the most reasonable statement possible. Product ▼(Choose one: A/B) performed better in the study. That is because only % failed to get relief with this product, whereas % failed to get relief with Product ▼(Choose one:A /B).
A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 11 of merlot, and 13 of cabernet (he only drinks red wine), all from different wineries. (a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? (b) If 6 bottles of wine are to be randomly selected from the 31 for serving, how many ways are there to do this? (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (d) If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal places.) (e) If 6 bottles are randomly selected, what is the probability that all of them are the same variety? (Round your answer to three decimal places.)
A professor has 15 books. They wish to distribute 4 books each to their 3 favorite students (so 12 in total). How many ways are there to do this? (All 15 books have different contents. We don’t care about the order of distribution, only who gets which books in the end.)
An advertising agency wants to know whether the no of column inches of classified ad carried by 2 competing newspapers is equal. The no of column inches appearing in both newspapers, respectively, on 20 randomly selected days follows: 663 & 725, 713 & 806, 626 & 620, 682 & 626, 639 & 595, 651 & 614, 769 & 744, 701 & 719, 723 & 680, 670 & 639, 665 & 602, 639 & 657, 694 & 624, 614 & 614, 651 & 583, 632 & 682, 739 & 657, 657 & 639 & 775 & 745. Use signed-rank test at 0.01 level of sig to test to test whether or not newspaper 1 & 2 carry equal amount of classified ad. What is the z value and decision?
Suppose one hundred eleven people who shopped in a special t-shirt store were asked the number of t-shirts they own costing more than $19 each. What is the percentage of people that own at most five t-shirts costing more than $19 each?
I need help on these questions. The table is attached. Use Table B, starting at line 119, to choose the first 5 drivers in the sample. Drag the token representing the label of the driver selected to the appropriate column. (b) One question asked was, “Recalling the last ten traffic lights you drove through, how many of them were red when you entered the intersections?” Of the 880 respondents, 171 admitted that at least one light had been red. A practical problem with this survey is that people may not give truthful answers. What is the likely direction of the bias: do you think more or fewer than 171 of the 880 respondents really ran a red light? A) Fewer than 171 of the 880 respondents really ran a red light. B) More than 171 of the 880 respondents really ran a red light. Why would there be such a bias? A) The test suffers from sample bias. B) People may be concerned that they will get in trouble if they admit to running red lights. C) Those…
7.) Several years ago, the US began running out of telephone numbers. Telephone companies introduced new area codes and numbers were used up, and eventually almost all area codes were used up. (a) Until recently, all area codes had a 0 or 1 as the middle digit, and the first digit could not be 0 or 1. How many such area codes are possible? (b) The actual number of area codes under this system was 152. What could be the cause of the discrepancy between this number and your answer to part (a)?
(3) A restaurant chain has 24 new employees: 10 (distinguishable) cooks and 14 (distinguishable) servers. How many ways are there to distribute these new employees to 7 (distinguishable) locations if each location must receive at least one new employee? Explain you answer.
You are given Three very rare three sided 'Phoenix Coins' where each of the three sides areequally likely to reveal itself upon a toss. The 'Phoenix Coin' sides and associated valuesare as follows:Phoenix Head = 0 'Tears'Phoenix Tail = -3 'Tears'Phoenix Fire = 12 'Tears'. How many (A) Phoenix Coin combinations; and (B) outcomes of Phoenix 'Tears' arepossible if you were to toss Ten (15) Phoenix Coins? What is the (C) Expected Value of Phoenix 'Tears' if you were to toss Fourty (40) PhoenixCoins?
The geographical distribution of the hometown of 80 students of PUP is given as: 50 from Luzon, 10 from Visayas, and 20 from Mindanao. (1) How many ways can three students be selected at random such that NO student comes from Luzon and Mindanao.(2) How many ways can three students be selected at random such that all of them come from any of the three places.
You are given Three very rare three sided 'Phoenix Coins' where each of the three sides areequally likely to reveal itself upon a toss. The 'Phoenix Coin' sides and associated valuesare as follows:Phoenix Head = 0 'Tears'Phoenix Tail = -3 'Tears'Phoenix Fire = 12 'Tears' How many (A) Phoenix Coin combinations; and (B) outcomes of Phoenix 'Tears' arepossible if you were to toss Ten (10) Phoenix Coins?