John is creating drinks for his Halloween party using his favorite grape flavoring powder and a soda-maker that creates carbonation. He measures the amount of grape flavor in the resulting drink as X, which is a continuous uniform random variable on the interval [0,10]. Then conditional on the amount of grape flavor, he measures the amount of carbonation as a continuous random variable Y. The conditional distribution of carbonation Y given grape flavor X = :c is fy'X:z (y) = 906'\" for y > 0. Give numerical answers to 4 significant digits. a. Find P(Y 9|X= %). 0.011108996538242 Computer's answer now shown above. You are correct. Your receipt no. is 162-1151 @ M c. Find the joint probability density function of X and Y. Enter a formula by using the letter e for Euler's constant, * for multiplication, /for division and A for power. For example, 12/15*e/'2*(3- 1262(37x)3 15 ' fx,y(w,y) = (1/10) *x*e"-(2y) l, O O; O otherWise. l SubmitAnswer l Incorrect. Tries 4/15 Previous Tries x)"3 means Every week, Alex receives $15 allowance from his parents. He usually spends most of it buying candy. In Alex's favorite candy store, M&M's are sold in bulk at $5 per pound, and Skittles are sold at $3 per pound. Let X and V denote the weight of M&M's and Skittles Alex buys, respectively. Let the joint probability density function for (X, Y) be ley(XA/) = cx5y, x>0, y>0, 5x + 3y