Answered: Suppose E1, E2, E3, E4, and E5 are…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 65CR

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Decide whether the following pairs of events are dependent or independent. C is the event that it rains more than 10 days in Chicago next June, and D is the event that it rains more than 15 days.
Consumer Preference In a population of 100,000 consumers, there are 20,000 users of Brand A, 30,000 users of Brand B, and 50,000 who use neither brand. During any month, a Brand A user has a 20 probability of switching to Brand B and a 5 of not using either brand. A Brand B user has a 15 probability of switching to Brand A and a 10 probability of not using either brand. A nonuser has a 10 probability of purchasing Brand A and a 15 probability of purchasing Brand B. How many people will be in each group a in 1 month, b in 2 months, and c in 18 months?

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Suppose E1, E2, E3, E4, and E5 are mutually exclusive and exhaustive events. Let A be an event with P(A) > P(E1) + P(E3) + P(E4) + P(E5). Show P(A∩E2) > 0.