Question: Given a binomial random variable X with n = 25 and p = 0.6. Find each of the following probabilities: P( X 12 ) P(

Given a binomial random variableXwithn= 25 andp= 0.6. Find each of the

following probabilities:

P(X 12 )

P(X= 15)

P(18 X 21)

(b)An investment company believes that the rate of return (X) on an investment portfolio is normally distributed with mean 30% and standard deviation 10%.

(i)Determine the probability that rate of return will be more than 55%.

(ii)Determine the probability that the rate of return will not exceed 22%.

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