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7. (15 points) Let X N Binomial(30,0.6). (a) (5 points) Using the Central Limit Theorem (CLT), approximate the probability that P(X 2 20)1 using continuity

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7. (15 points) Let X N Binomial(30,0.6). (a) (5 points) Using the Central Limit Theorem (CLT), approximate the probability that P(X 2 20)1 using continuity correction. (b) (5 points} Using CLT, approximate the probability that P(X = 18), using conti- nuity correction. (c) (5 points} Calculate P(X = 18) exactly and compare to part(b)

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