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?

On the first of each month, shelly runs a 5k race. she keeps track of her times to track her progress. her time in minutes is recorded in the table: jan 40.55 july 35.38 feb 41.51 aug 37.48 mar 42.01 sept 40.87 apr 38.76 oct 48.32 may 36.32 nov 41.59 june 34.28 dec 42.71 determine the difference between the mean of the data, including the outlier and excluding the outlier. round to the hundredths place. 39.98 39.22 0.76 1.21

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2

Anumber cube is rolled two times in a row. find the probability it will land on 2 on the first roll and a number greater then 4 on the second roll