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

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Suppose X Has A Standard Normal Distribution The Pnorm Dnorm And Qnorm Functions Should Be Useful In The Follow 1 (67.85 KiB) Viewed 11 times

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 3X+2? 2 b) What is the variance of 5X+2? | ? 2.7778 c) Using R, find the expected value of to 9 ? d) Using R, calculate the probability X > 0.77) e) Using R, calculate the probability that -2.58 < X < -0.34 f) Using R, calculate the probability that 1 < ==x+2 g) If the probability that X < t = .94 then what is t? <2 h) Copy your R script for the above into the text box here.