1. Suppose that X is a binomial random variable with n 200 and p 0.4. Find the probability PCX< 70) based on the corresponding binomial distribution and approximate normal distribution. Is the normal approximation

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Exercise 6.2 Compute the following:
1. Suppose that X is a binomial random variable with n= 200 and p 0.4.
Find the probability PCX< 70) based on the corresponding binomial
distribution and approximate normal distribution. Is the normal approximation
reasonable?
2. Suppose that X has a hypergeometric distribution with N= 2,000, K = 800, and
n= 200. Find the probability P(X < 70) based on the corresponding
hypergeometric distribution and approximate normal distribution. Is the
normal approximation reasonable?
3. Suppose that X has a Poisson distribution with h 80. Find the probability
PCX< 70) based on the corresponding Poisson distribution and approximate
normal distribution. Is the normal approximation reasonable?
Transcribed Image Text:Exercise 6.2 Compute the following: 1. Suppose that X is a binomial random variable with n= 200 and p 0.4. Find the probability PCX< 70) based on the corresponding binomial distribution and approximate normal distribution. Is the normal approximation reasonable? 2. Suppose that X has a hypergeometric distribution with N= 2,000, K = 800, and n= 200. Find the probability P(X < 70) based on the corresponding hypergeometric distribution and approximate normal distribution. Is the normal approximation reasonable? 3. Suppose that X has a Poisson distribution with h 80. Find the probability PCX< 70) based on the corresponding Poisson distribution and approximate normal distribution. Is the normal approximation reasonable?
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