Question 18 NM ym chapter 8, lectures module week 6 answered ..... Marked out of 1.00 '7 Flag A certain process for production of an industrial chemical yields a product that contains two main types of impurities For a certain volume of sample from this process, let X denote the proportion of total impurities in question the sample, and let Y denote the proportion of type I impurity among all impurities found. Suppose that under investigation of many such samples, the joint distribution of X and Y can adequately modeled by the following joint density function f(x,y)=2(lx). 03x51, OSVSI The expected proportion of type I impurities is C a. 05 C b. 0.2 C c 0.7 - Question 19 Office hours examples videos Not yet answered Marked out of The volume of gasoline stocked by a gas station (Y) and the amount of gasoline sold (X) per week varies each week. The probabilities of possible values observed in the past can be modeled by a joint density function. 1.00 Some proposes Flag f(x, y ) = kxy, O S x Sys 2 question but is not certain of what to put in k, since this is the first time they are putting together the joint density function. Can you help? O a. k=1/8 O b. k=2 O c. K=1 O d. k=1/2Question 20 The conditional probability density function of random variable Y when X is 0 is given by Not yet answered Marked out of y P(Y=y X=0) 1.00 0 0. 04 Flag question 1 0.32 2 0. 64 3 0 X P(X=X) 0 and the unconditional probability mass function of X is 0.3 1 0.7 Then the joint probability P(Y=1, X=0) is equal to O a. 0.096 O b. 0.89 O c. 0.124 O d. 0.028