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Suppose X has a standard normal distribution. The pnorm(), dnorm(), and qnorm() functions should be useful in the following. Remember, if X has a standard

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Suppose X has a standard normal distribution. The pnorm(), dnorm(), and qnorm() functions should be useful in the following. Remember, if X has a standard normal distribution then E(X) = 0 and Var(X)=1. a) What is the expected value of %X+2 7 :] b) What is the variance of %X+2 ? [:1 c) Using R, find the expected value of g ? :l d) Using R, calculate the probability X > 0.77) :] 9) Using R, calculate the probability that -2.58

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