Choose a number x at random from the set of numbers {1,2,3,4,5}. now choose a number at random from the subset no larger than x, that is, from {1, . . , x}. call this second number y. (a) find the joint mass function of x and y. (b) find the conditional mass function of x given that y = i. do it for i = 1, 2, 3, 4, 5. (c) are x and y independent? why?

Use the sample data and confidence level given below to complete parts a through d.a research institute poll asked respondents if they felt vulnerable to identity theft. in the poll, n=1090 and x=549 who said yes. use a 99% confidecne level.a. find the best point of estimate of the population of portion p.b. identify the value of the margin of error e.e= round to four decimal places as needed.c. construct the confidence interval._ < p < _ round to three decimal places.d. write a statement that correctly interprets the confidence interval.