Problem 1. Find the following probabilities by reducing them to the standard normal distribution. (a) X N(1, 4), P(X > 1) = ? (b) X N(0, 9), P(|X 3| > 6) = ? (c) X N(1, 1), P((2X) 2 > 4) = ? Note that the second argument of N(, 2 ) is the variance.