(A) Explanation Given: An employee has 3 attempts to pass the exam, from past records it has been found that 40% pass on the first trial; of those that fail the first trial and take the test a second time, 60% pass; and of those that fail on the second trial and take the test a third time, 20% pass. Formula used: Probability: The formula for probability is, P ( E ) = Number of elements of E Number of elemenst of S = n ( E ) n ( S ) Conditional probability: Let A and B be two events then the conditional probability is given by, P ( A | B ) = P ( A ∩ B ) P ( B ) or P ( B | A ) = P ( A ∩ B ) P ( A ) The product rule based on conditional probability is, P ( A ∩ B ) = P ( A | B ) P ( B ) or P ( A ∩ B ) = P ( B | A ) P ( A ) Probability of the complementary Event: For any events E , P ( E ) = 1 − P ( E ′ ) . Calculation: Define the event as P 1 employee passed in first trail, F 1 employee failed in first trail, P 2 employee passed in second trail, F 2 employee failed in second trail, P 3 employee passed in third trail, F 3 employee failed in third trail. The probability of events is P ( P 1 ) = 0.40 , P ( P 2 ) = 0.60 , P ( P 3 ) = 0 (B) To determine The probability of failing on the first 2 trials and passing on the third (C) To determine The probability of failing on all 3 attempts

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134674148

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Chapter 8.3, Problem 84E

(A)

To determine

The probability of passing the test on the first or second try

(B)

To determine

The probability of failing on the first 2 trials and passing on the third

(C)

To determine

The probability of failing on all 3 attempts

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Chapter 8.3, Problem 83E

Chapter 8.3, Problem 85E

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Chapter 8 Solutions

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 8.1 - Repeat Example 1 for The outcome is a number...Ch. 8.1 - Prob. 2MP Ch. 8.1 - Prob. 3MP Ch. 8.1 - Suppose in Example 4 that after flipping the...Ch. 8.1 - Prob. 5MP Ch. 8.1 - Prob. 6MP Ch. 8.1 - Prob. 7MP Ch. 8.1 - Prob. 8MP Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E

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