12. Consider a binomial experiment with n-3 and p= .30 (three points) Calculate

Question

12. Consider a binomial experiment with n-3 and p= .30 (three points) Calculate the probability when X (Random Variable) is 3· Xe3 Calculate the expected value and variance of binomial distribution. (Hint: use binomial formula and compare your answer with the binomial table.) 13. Average of 15 aircraft accidents occur each year. Compute the probability of exactly one accident during a year. Compute the probability of more than one accident during a year. (Hint: Use complementary rule to find the probability) a. b.

Explanation / Answer

12) n = 3

p = 0.3

x = 3

P(X = 3) = 3C3 * 0.3^3 * 0.7^0

P = 0.027

E(x) = 3 * 0.3 = 0.9

V(x) = np(1-p)

V(x) = 0.9 * 0.7 = 0.63

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