Question: 5. Let X be a binomial random variable with parameters n = 20 and p = 0.4. (a) Use the binomial tables (Table A.2) to

5. Let X be a binomial random variable with parameters n = 20 and p = 0.4.

(a) Use the binomial tables (Table A.2) to determine P(4 ≤ X ≤ 12).

(b) Find the mean and the standard deviation of the binomial distribution, and then use the appropriate normal approximation to find P(4 ≤ X ≤ 12). Compare the approximate probability with the actual probability you determined in (a).

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