Question: 7. Let X have a normal distribution with u: 10 and standard deviation 0: 2. Transform X to the standard normal form 2 and match

7. Let X have a normal distribution with u: 10 and standard deviation 0: 2. Transform X to the standard normal form 2 and match the following probability statements: a) P(X>14) 1) P(Z 2) a) is matched to (2.5 pts) b) is matched to (2.5 pts) c) is matched to (2.5 pts) . Let X have a normal distribution with mean u: 30 and standard deviation 0: 10. Calculate P(X>40). Bound to two decimal places. (4 pts)

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