The accompanying data represent the number of cases of coffee or filters sold by four sales reps in a recent sales competition. Use these data to complete parts Salesperson Gourmet Single Filters Total (a) through (f) below. Cup Connor 142 325 30 497 Paige 42 125 40 207 Bryce 9 100 10 119 Mallory 71 75 40 186 Total 264 625 120 1009 (a) What is the probability that a randomly selected case was sold by Bryce? Is this unusual? The probability of randomly selecting a case sold by Bryce is ] which unusual. (Round to three decimal places as needed.) (b) What is the probability that a randomly selected case was Gourmet? The probability of randomly selecting a Gourmet case sold is. is (Round to three decimal places as needed.) is not (c) What is the probability that a randomly selected Single-Cup case wa[c] What is the probability that a randomly selected SingleCup case 1.yas sold by Mallory? The probability of a randomly selected SingleCup case being sold by Mallory is D. [Round to Three decimal places as needed.) [d] I|.|"'I.I'hat is the probability that a randomly selected Gourmet case 1.Iras sold by Eiryce? Is this unusual? The probability of a randomly selected Gourmet case being sold by Bryce is D which |:1l unusual. [Round to three decimal places as needed.) (e) Are the events "Mallory" and "Filters" independent? Explain. (Round to three decimal places as needed.) O A. No, the events are dependent because P(Mallory) = and P(Filter) = O B. Yes, the events are independent because P(Mallory) = and P(Filter) = O C. Yes, the events are independent because P(Mallory) = and P(Mallory | Filter) = O D. No, the events are dependent because P(Mallory) = and P(Mallory |Filter) =(f) Are the events "Paige" and "Gourmet" mutually exclusive? Explain. 'Round to three decimal places as needed.) O A. Yes, the events are mutually exclusive because P(Paige and Gourmet) = O B. No, the events are not mutually exclusive because P(Paige and Gourmet) = O C. No, the events are not mutually exclusive because P(Paige) = and P(Gourmet) = D. Yes, the events are mutually exclusive because P(Paige) = and P(Gourmet) =