Question: 8. A random variable X is distributed by the binomial distribution with n = 15, p = 0.1. Find the following probabilities, first using the

8. A random variable X is distributed by the binomial distribution with n = 15, p = 0.1.

Find the following probabilities, first using the binomial distribution and then using the Poisson approximation to the binomial distribution. Compare your results.

4.9 The Negative Binomial Distribution 153

(a) P(X <6)

(b) P(4 ≤ X ≤ 9)

(c) P(X ≥ 5)

(d) P(X ≤ 8)

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