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In: Statistics and Probability

A shipment of 6 television sets contains 2 defective sets. A hotel makes a random purchase...

A shipment of 6 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 defective. Then using F(x), find

(a)P(X= 1) ;

(b)P(0< X≤2).

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