3. Find P(P (P (0))).

Twenty-five percent of the customers entering a grocery store between 5 P.M. and 7 P.M. use an express checkout. Consider five randomly selected customers, and let x denote the number among the five who use the express checkout. (a) What is p(5), that is, P(x = 5)? (Round the answer to five decimal places.) p(5) = (b) What is P(x < 1)? (Round the answer to five decimal places.) P(x < 1) = 0.6328 (c) What is P(2 < x)? (Round the answer to five decimal places. Hint: Make use of your computation in Part (b).) P(2 < x) = 0.3672 (d) What is P(x # 5)? (Round the answer to five decimal places.) P(x + 5) = 0.7363

If S = {a, b, c} with P(a) = 6P(b) = 7P(c), find P(a).

(4) 1. Let P(x) = "x is a good singer" and Q(x) = "x has appeared on The Voice." And the u.d. for x is all people. a. Translate into English Q(Samantha) v P(Samantha) b. Translate into symbols: There exists a person who is both a good singer and who has appeared on The Voice.