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Statistics / A First Course in Probability 9 / Chapter 2 / Problem 4STE

A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross

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Let A denote the event that the midtown temperature in Los

Chapter 2, Problem 4STE

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QUESTION:

Problem 4STE

Let A denote the event that the midtown temperature in Los Angeles is 70°F, and let B denote the event that the midtown temperature in New York is 70°F. Also, let C denote the event that the maximum of the midtown temperatures in New York and in Los Angeles is 70°F. If P(A) = 3,P(B) = .4, and P(C) = .2, find the probability that the minimum of the two midtown temperatures is 70ºF.

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QUESTION:

Problem 4STE

Let A denote the event that the midtown temperature in Los Angeles is 70°F, and let B denote the event that the midtown temperature in New York is 70°F. Also, let C denote the event that the maximum of the midtown temperatures in New York and in Los Angeles is 70°F. If P(A) = 3,P(B) = .4, and P(C) = .2, find the probability that the minimum of the two midtown temperatures is 70ºF.

ANSWER:

Step 1 of 2

From the given problem we have:

A = The event that the midtown temperature in Los Angeles is 70°F,

B = The event that the midtown temperature in New York is 70°F, and

C = The event that the maximum of the midtown temperatures in New York and in Los Angeles

is 70°F.

Also we have P(A) = 0.3, P(B) = 0.4, and P(C) = 0.2.

We need to find the probability that the minimum of the two midtown temperatures is 70ºF.

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