Suppose that a random man's height from a certain population has a normal distribution with mean of 70" and standard deviation of 3 and a random woman's height has a normal distribution with mean of 66' and standard deviation of 4". find the probability that a random woman is taller than a random man. (hint: the sum of two gaussian random yariables is a gaussian random variable with μ-hs and a variance of σ2-σ2+ ơy2).