Kindly send answers in handwritten solutions:

Suppose that X is a binomial random variable with n=200 and p=0.5.

• a. Is the normal approximation reasonable?YES OR NO
• b. Find the probability P(x is less than or equal to 40)based on the corresponding binomial distribution.
• c. Find the probability P(x is less than or equal to 40)based on the approximate normal distribution.

NOTE: FOUR DECIMALS NEEDED, HANDWRITTEN SOLUTION.

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