2. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. a) If x is the number of defective sets purchased by the hotel, find the probability distribution of x. Express the results graphically as a probability histogram. b) 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). %3D

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Chapter1: Combinatorial Analysis
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2. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3
of the sets.
a) If x is the number of defective sets purchased by the hotel, find the probability distribution of
x. Express the results graphically as a probability histogram.
b) 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).
Transcribed Image Text:2. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. a) If x is the number of defective sets purchased by the hotel, find the probability distribution of x. Express the results graphically as a probability histogram. b) 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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