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# Suppose that 55% of all adults regularly consume coffee, ISBN: 9780321629111 32

## Solution for problem 14E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 14E

Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and 70% regularly consume at least one of these two products. a?. ?What is the probability that a randomly selected adult regularly consumes both coffee and soda? b?. ?What is the probability that a randomly selected adult doesn’t regularly consume at least one of these two products?

Step-by-Step Solution:

Answer: Step 1: Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and 70% regularly consume at least one of these two products. Here, 55% of all adults regularly consume coffee can be written as 0.55. 45% regularly consume carbonated soda is 0.45. and 70% regularly consume at least one of these two products is C S = 0.7. Step 2: a). Here we need to find the probability that a randomly selected adult regularly consumes both coffee and soda That is, P( C S) = P(C) + P(S) - P(C and S) 0.7 = 0.55 + 0.45 - P(C and S) Since, P(C and S) = 0.55 + 0.45 - 0.7 = 0.3 P(C and S) = 0.3. Therefore,the probability that a randomly selected adult regularly consumes both coffee and soda is 30%.

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##### ISBN: 9780321629111

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