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?

Sandy is upgrading her internet service. fast internet charges $20 for installation and $52.45 per month. quick internet has free installation but charges $57.45 per month. part 1 out of 2 complete the equation that can be used to find the number of months after which the internet service would cost the same. use the variable x to represent the number of months of internet service purchased.