38. Suppose that A is uniformly distributed over (-1,1/. Then find the density function of Y=3x+5 Y= x c). Y=. 3 bj. (+1 /2 dj. Y=4-x- e). Find the mean and variance of X . Find the mean of Y for a,b , c Ad. 39. A) A normal distribution has mean -62.4. Find its standard deviation if 20% of the area under the curve lies to the right of 79.2. B) A random variable X has a normal distribution with standard deviation-5. Find its mean if the probability is 0.8264 that the random variable will take on a value less than 52.5. 40. What are the characteristics of a normal distribution? 41. Find the area under the standard normal distribution curve. 1. Between z = 0 and z =1.89 1i Between z =0 and z =0.75 iii Between z =0 and z=-0.46 TV. Between z =0 and z=-2.07 V. To the right of z =2.11 vi. To the right of z =0.23 vii. To the left of z=-0.75 vili. To the left of z=-1.43