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 using the Poisson approximation to the binomial distribution. Compare your results. a. P(X < 6) b. P(4 ≤ x ≤9) c. P(X ≥ 5) d. P(X ≤8)

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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.
a. P(X < 6)
b. P(4 ≤ x ≤9)
P(X ≥ 5)
d. P(X ≤8)
C.
Transcribed Image Text: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. a. P(X < 6) b. P(4 ≤ x ≤9) P(X ≥ 5) d. P(X ≤8) C.
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