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The corona virus has forced nine in fifteen US employees to apply for unemployment benefit. A...

The corona virus has forced nine in fifteen US employees to apply for unemployment benefit. A government official selected a sample of 15 people.
a) What is the probability that fewer than seven of them applied for unemployment benefit?
b) What is the probability that at least six of them applied for unemployment benefit?

c) List the probabilities for x =0-15. And find the mean, variance and standard deviation of this distribution using the list of probabilities (x=0-15).

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