Pearson eText for Probability & Statistics for Engineers & Scientists, Digital Update -- Instant Access (Pearson+)
Pearson eText for Probability & Statistics for Engineers & Scientists, Digital Update -- Instant Access (Pearson+)
9th Edition
ISBN: 9780137273546
Author: Ronald Walpole, Raymond Myers
Publisher: PEARSON+
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Chapter 2.7, Problem 97E

Referring to Exercise 2.95, what is the probability that a person diagnosed as having cancer actually as the disease?
2.95In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05. If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, what is the probability that an adult over 40 years of age is diagnosed as having cancer?

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Chapter 2 Solutions

Pearson eText for Probability & Statistics for Engineers & Scientists, Digital Update -- Instant Access (Pearson+)

Ch. 2.2 - Prob. 11ECh. 2.2 - Exercise and diet are being studied as possible...Ch. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 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. 17ECh. 2.2 - Which of the following pairs of events are...Ch. 2.2 - Prob. 19ECh. 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. 23ECh. 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. 26ECh. 2.3 - Prob. 27ECh. 2.3 - A drug for the relief of asthma can be purchased...Ch. 2.3 - Prob. 29ECh. 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. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 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. 42ECh. 2.3 - Prob. 43ECh. 2.3 - In how many ways can a caravan of 8 covered wagons...Ch. 2.3 - Prob. 45ECh. 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. 50ECh. 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. 57ECh. 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. 62ECh. 2.5 - Prob. 63ECh. 2.5 - Interest centers around the life of an electronic...Ch. 2.5 - Prob. 65ECh. 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. 69ECh. 2.5 - Prob. 70ECh. 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. 74ECh. 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. 80ECh. 2.6 - Prob. 81ECh. 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. 90ECh. 2.6 - Find the probability of randomly selecting 4 good...Ch. 2.6 - Prob. 92ECh. 2.6 - A circuit system is given in Figure 2.11. Assume...Ch. 2.6 - Prob. 94ECh. 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. 102ECh. 2.7 - Prob. 103RECh. 2.7 - An allergist claims that 50% of the patients she...Ch. 2.7 - Prob. 105RECh. 2.7 - Prob. 106RECh. 2.7 - Prob. 107RECh. 2.7 - Prob. 108RECh. 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. 111RECh. 2.7 - Prob. 112RECh. 2.7 - Prob. 113RECh. 2.7 - Prob. 114RECh. 2.7 - A certain federal agency employs three consulting...Ch. 2.7 - A manufacturer is studying the effects of cooking...Ch. 2.7 - Prob. 117RECh. 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. 120RECh. 2.7 - Prob. 121RECh. 2.7 - Prob. 122RECh. 2.7 - Prob. 123RECh. 2.7 - Prob. 124RECh. 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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