10. Suppose that X is a binomial random variable with $n = 200$ and $p = 0.4$. Approximate the following probabilities using normal distribution: (a) $P(X \le 70)$ (b) $P(X > 90)$ (c) $P(X = 80)$
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The mean of a binomial distribution is given by μ = n * p, where n is the number of trials and p is the probability of success. In this case, n = 200 and p = 0.4, so the mean is μ = 200 * 0.4 = 80. The standard deviation of a binomial distribution is given by σ = Show more…
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