Question 15 Not yet It is a good problem to practice building a joint probability mass function starting with the Sample Space, defining two random variables in it, and then calculating the joint probability of each pair of values of the answered random variables, by calculating the probability of the event in S for which the random variables take those values, Notice that this problem is very similar in methodology to the exercise built in lecture this week and the textbook section 61, but of course, in a different context now Marked out of 1.00 \\7 Flag question Tokinari has an 50 % chance of making a sale on each call. If three calls are to be made next month, let X=tota| number of sales Y: total profit from the sales Where the profit Y is calculated as follows: Any sales on the first two calls yields a profit of $100 each. By the time the third call is made' the original product has been replaced by a new product whose sale yields a profit of $200 Thus, for example, the sequence (sale, no sale, sale) would give Y=$300t How many sales is Tokinari expected to make? I: a. 0.9 I: b 2.1 I: c 2.4 U do 250 Question 16 Not ye' answered Marked out of 1.00 '7 Flag question chapter 8, End of chapter problem Consider the following joint density f(X.y) = 129\"\mew\" 17 Lectures module week 6 Not yet answered \"' ' Marked out of 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 1-00 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 \\7 Flag following joint density function question f(x.Y)=2(1x). 05x51, 053151 P(XSO.5,0.4SySO.7) is equalto C a. 0.651 C] b. 0.0225 C] c. 0.494 C d. 0.225