27. Table 17 gives the probability distribution of the random vari- able U. Table 17 k Pr(U = k) 0 r"; 1 is 2 3 35 4 ? (:1) Determine the probability that U = 4. (b) Find Pr(U a 2). (c) Find the probability that U is at most 3. ((1) Find the probability that U + 2 is less than 4. (e) Draw the histogram of the distribution of U. 29. Table 19 gives the probability distribution of the random vari- able Y. Table 19 k Pr(Y = k) .20 .20 AWNE .20 .40(:1) Draw the histogram for Y. (b) Find Pr(Y= 2 or 3) (c) Find the probability that Y 2 is at most 9. ((1) Find the probability that Y is at most 10. (c) Find the probability distribution of (Y + 2)2