A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel,  Find the cumulative distribution function of the random variable X representing the number of defectives .Then using F(x), find (a) P(X = 1); (b) P(0 < X ≤ 2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel,  Find the cumulative distribution function of the random variable X representing the number of defectives .Then using F(x), find (a) P(X = 1); (b) P(0 < X ≤ 2).

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