If X is a normal random variable with=3=3and2=92=9. Using R and rounding your answer to 2 decimal places, find:

P ( 2 < X < 5) =

P(X > 0) =

P(|X -3| > 6) =

(Hint:1 |X - 3| > 6 if and only if X >9 OR X < -3, Hint 2: In R, pnorm and dnorm use standard deviation as the second parameter, not the variance. See slide)