Answer to Question #340159 in Statistics and Probability for Maneo

Question #340159

1.....Let X be a random variable with a binomial distribution. Then

E(X) = np

V(X) = npq

Mx(t) = (pet + q)n

Using the direct method, prove the above theorems.


2.....9% of students in the class have their bank balances greater than M500. Suppose that 10 students are selected at random to be interviewed about their bank balances


i) What is the probability that two students will have their bank balances greater than M500?


ii) What is the probability that none will have a bank balance greater than M500?



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