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1) A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is
1) 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 probability distribution of X. Express the results graphically as a probability histogram.
2) The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given by
X | 0 | 1 | 2 | 3 | 4 |
---|---|---|---|---|---|
f (x) | 0.41 | 0.37 | 0.16 | 0.05 | 0.01 |
Construct the cumulative distribution function of X.
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