A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. The probability distribution of X, where x is the number of defective sets purchased by the hotel, is shown below. Find the cumulative distribution function of the random variable X. Then, using F(x), find (a) P(X= 1); (b) P(0 < x≤2). X f(x) 027 1 4 2 4 1 7

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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. The probability distribution of X, where x is the number of
defective sets purchased by the hotel, is shown below. Find the cumulative distribution
function of the random variable X. Then, using F(x), find (a) P(X= 1); (b) P(0< x≤2).
X
f(x)
027
1
4
2
1
Transcribed Image Text:A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. The probability distribution of X, where x is the number of defective sets purchased by the hotel, is shown below. Find the cumulative distribution function of the random variable X. Then, using F(x), find (a) P(X= 1); (b) P(0< x≤2). X f(x) 027 1 4 2 1
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