(a) To determine Find the probability that a compact disk was tested and failed any test. Explanation Calculation: Complementary events: Let A and A ' are complementary events, then P ( A ) + P ( A ' ) = 1 Multiplication rule: The events A 1 , A 2 , ... , A k are independent events, than P ( A 1 ∩ A 2 ∩ ⋯ ∩ A k ) = P ( A 1 ) P ( A 2 ) P ( A 3 ) ... P ( A k ) Let the event P 1 is defined as the first compact disk test is passed, event P 2 is defined as the second compact disk test is passed, event P 3 is defined as the third compact disk test is passed, and event P 4 is defined as the fourth compact disk test is passed. The failure rates for the four testing programs are 0.01, 0.03, 0.02, and 0.01 than the pass rates for these four test programs are 0.99, 0.97, 0.98, and 0.99 (b) To determine Find the probability that it failed program 2 or 3 given that a compact disk was tested. (c) To determine Find the number of compact disk would be expected to reject. (d) To determine Find the probability that it was tested given that a compact disk was defective.

PROBABILITY AND STATISTICS FOR ENGINEERS

9th Edition

ISBN: 9780136860969

Author: WALPOLE

Publisher: PEARSON

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Question

Chapter 2.6, Problem 88E

(a)

To determine

Find the probability that a compact disk was tested and failed any test.

(b)

To determine

Find the probability that it failed program 2 or 3 given that a compact disk was tested.

(c)

To determine

Find the number of compact disk would be expected to reject.

(d)

To determine

Find the probability that it was tested given that a compact disk was defective.

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Chapter 2.6, Problem 87E

Chapter 2.6, Problem 89E

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I just need to know why this is wrong below: What is the test statistic W? W=5 (incorrect) and What is the p-value of this test? (p-value < 0.001-- incorrect) Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages pages 127 217 486 132 397 297 396 327 292 256 358 272 What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this? two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12 Alpha Level 0.001 0.005 0.01 0.025 0.05 0.1 0.2 Critical Value 75 70 68 64 60 56 50 What is the p-value for this test? p-value < 0.001

Chapter 2 Solutions

PROBABILITY AND STATISTICS FOR ENGINEERS

Ch. 2.2 - List the elements of each of the following sample...Ch. 2.2 - Use the rule method to describe the sample space S...Ch. 2.2 - Which of the following events are equal? A = {1,...Ch. 2.2 - An experiment involves tossing a pair of dice, one...Ch. 2.2 - Prob. 5E Ch. 2.2 - Two jurors are selected from 4 alternates to serve...Ch. 2.2 - Prob. 7E Ch. 2.2 - For the sample space of Exercise 2.4, list the...Ch. 2.2 - Prob. 9E Ch. 2.2 - Prob. 10E

Ch. 2.2 - Prob. 11E Ch. 2.2 - Exercise and diet are being studied as possible...Ch. 2.2 - Prob. 13E Ch. 2.2 - Prob. 14E Ch. 2.2 - Consider the sample space S = {copper, sodium,...Ch. 2.2 - If S = {x | 0 < x < 12}, M = {x | 1 < x < 9}, and...Ch. 2.2 - Prob. 17E Ch. 2.2 - Which of the following pairs of events are...Ch. 2.2 - Prob. 19E Ch. 2.2 - Referring to Exercise 2.19 and the Venn diagram of...Ch. 2.3 - Registrants at a large convention are offered 6...Ch. 2.3 - In a medical study, patients are classified in 8...Ch. 2.3 - Prob. 23E Ch. 2.3 - Students at a private liberal arts college are...Ch. 2.3 - A certain brand of shoes comes in 5 different...Ch. 2.3 - Prob. 26E Ch. 2.3 - Prob. 27E Ch. 2.3 - A drug for the relief of asthma can be purchased...Ch. 2.3 - Prob. 29E Ch. 2.3 - In how many different ways can a true-false...Ch. 2.3 - A witness to a hit-and-run accident told the...Ch. 2.3 - In how many ways can 6 people be lined upto get on...Ch. 2.3 - If a multiple-choice test consists of 5 questions,...Ch. 2.3 - Prob. 34E Ch. 2.3 - Prob. 35E Ch. 2.3 - Prob. 36E Ch. 2.3 - Prob. 37E Ch. 2.3 - Prob. 38E Ch. 2.3 - In a regional spelling bee, the 8 finalists...Ch. 2.3 - In how many ways can 5 starting positions on a...Ch. 2.3 - Find the number of ways that 6 teachers can be...Ch. 2.3 - Prob. 42E Ch. 2.3 - Prob. 43E Ch. 2.3 - In how many ways can a caravan of 8 covered wagons...Ch. 2.3 - Prob. 45E Ch. 2.3 - In how many ways can 3 oaks, 4 pines, and 2 maples...Ch. 2.3 - How many ways are there to select 3 candidates...Ch. 2.3 - How many ways are there that no two students will...Ch. 2.5 - Find the errors in each of the following...Ch. 2.5 - Prob. 50E Ch. 2.5 - A box contains 500 envelopes, of which 75...Ch. 2.5 - Suppose that in a senior college class of 500...Ch. 2.5 - The probability that an American industry will...Ch. 2.5 - From past experience, a stockbroker believes that...Ch. 2.5 - If each coded item in a catalog begins with 3...Ch. 2.5 - An automobile manufacturer is concerned about a...Ch. 2.5 - Prob. 57E Ch. 2.5 - A pair of fair dice is tossed. Find the...Ch. 2.5 - In a poker hand consisting of 5 cards, find the...Ch. 2.5 - If 3 books are picked at random from a shelf...Ch. 2.5 - In a high school graduating class of 100 students,...Ch. 2.5 - Prob. 62E Ch. 2.5 - Prob. 63E Ch. 2.5 - Interest centers around the life of an electronic...Ch. 2.5 - Prob. 65E Ch. 2.5 - Factory workers are constantly encouraged to...Ch. 2.5 - Consider the situation of Example 2.32 on page...Ch. 2.5 - Interest centers around the nature of an oven...Ch. 2.5 - Prob. 69E Ch. 2.5 - Prob. 70E Ch. 2.5 - As the situation of Exercise 2.69 might suggest,...Ch. 2.5 - Prove that P(A′ ∩ B′) = 1+P(A ∩ B) − P(A) − P(B). Ch. 2.6 - If R is the event that a convict committed armed...Ch. 2.6 - Prob. 74E Ch. 2.6 - A random sample of 200 adults are classified below...Ch. 2.6 - In an experiment to study the relationship of...Ch. 2.6 - In the senior year of a high school graduating...Ch. 2.6 - A manufacturer of a flu vaccine is concerned about...Ch. 2.6 - In USA Today (Sept. 5, 1996), the results of a...Ch. 2.6 - Prob. 80E Ch. 2.6 - Prob. 81E Ch. 2.6 - For married couples living in a certain suburb,...Ch. 2.6 - The probability that a vehicle entering the Luray...Ch. 2.6 - The probability that the head of a household is...Ch. 2.6 - The probability that a doctor correctly diagnoses...Ch. 2.6 - In 1970, 11% of Americans completed four years of...Ch. 2.6 - A real estate agent has 8 master keys to open...Ch. 2.6 - Before the distribution of certain statistical...Ch. 2.6 - A town has two fire engines operating...Ch. 2.6 - Prob. 90E Ch. 2.6 - Find the probability of randomly selecting 4 good...Ch. 2.6 - Prob. 92E Ch. 2.6 - A circuit system is given in Figure 2.11. Assume...Ch. 2.6 - Prob. 94E Ch. 2.7 - In a certain region of the country it is known...Ch. 2.7 - Police plan to enforce speed limits by using...Ch. 2.7 - Referring to Exercise 2.95, what is the...Ch. 2.7 - If the person in Exercise 2.96 received a speeding...Ch. 2.7 - Suppose that the four inspectors at a film factory...Ch. 2.7 - A regional telephone company operates three...Ch. 2.7 - A paint-store chain produces and sells latex and...Ch. 2.7 - Prob. 102E Ch. 2.7 - Prob. 103RE Ch. 2.7 - An allergist claims that 50% of the patients she...Ch. 2.7 - Prob. 105RE Ch. 2.7 - Prob. 106RE Ch. 2.7 - Prob. 107RE Ch. 2.7 - Prob. 108RE Ch. 2.7 - A large industrial firm uses three local motels to...Ch. 2.7 - The probability that a patient recovers from a...Ch. 2.7 - Prob. 111RE Ch. 2.7 - Prob. 112RE Ch. 2.7 - Prob. 113RE Ch. 2.7 - Prob. 114RE Ch. 2.7 - A certain federal agency employs three consulting...Ch. 2.7 - A manufacturer is studying the effects of cooking...Ch. 2.7 - Prob. 117RE Ch. 2.7 - A certain form of cancer is known to be found in...Ch. 2.7 - A producer of a certain type of electronic...Ch. 2.7 - Prob. 120RE Ch. 2.7 - Prob. 121RE Ch. 2.7 - Prob. 122RE Ch. 2.7 - Prob. 123RE Ch. 2.7 - Prob. 124RE Ch. 2.7 - A survey of those using a particular statistical...Ch. 2.7 - During bad economic times, industrial workers are...Ch. 2.7 - There is a 50-50 chance that the queen carries the...

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