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Suppose that x has a binomial distribution with n = 202 and p = 0.47. (Round np and n(1-p) answers to 2 decimal places. Round

Suppose thatxhas a binomial distribution withn= 202 andp= 0.47.(Round np and n(1-p) answers to 2 decimal places. Round youranswers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (?) to 4 decimal places.)

(a)Show that the normal approximation to the binomial can appropriately be used to calculate probabilities aboutx:

n (1-p) _______

(b)Make continuity corrections for each of the following, and then use the normal approximation to the binomial to find each probability:

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