(10 points) (i) Exercise 3.17 in SBE on page 114. (ii)* Suppose f (x1, . . . , Xp) = (1+2,_x;) where p and d are positive integers. How many distinct terms are in f(1, . .. , Up) after com- bining like terms?3.1?r A department store manager has monitored the num ber of complaints received per week about poor ser- vice. The probabilities for numbers of complaints in a week, established by this review, are shown in the fol- lowing table. Let A be the event \"there will be at least one complaint in a week" and B the event \"there will be fewer than ten complaints in a week.\" Number of More complaints [l 1 to 3 4 to 6 F to 9 1D to 12 than 12 Probability [1.14 [1.39 {123 {1.15 ass {1.133 a. Find the probability of A. b. Find the probability of B. c. Find the probability of the complement of A. :1. Find the probability of the union of A and B. e. Find the probability of the intersection of A and B. f. Are A and B mutually exclusive? g. Are A and B collectively exhaustive