Calculators, notes, and books are not allowed. Put your name on back and front o

Question

Calculators, notes, and books are not allowed. Put your name on back and front of this sheet. Please stop working when time is up. You may leave terms like (55 5) and e^-2 in your answers. What would be a reasonable guess as to the distribution of the following random variable? The number of chocolate chips in the tenth chocolate chip cookie, The number of chocolate chip cookies received until receiving a cookie with exactly 10 chocolate chips, The number of chocolate chip cookies out of the first 10 cookies that have exactly 10 chocolate chips. Suppose we are dealt 6 cards from a well-shuffled standard deck. What is the probability of 4 of one kind and 2 aces? three pairs? three pairs including a pair of aces (that is, a pair of aces and 2 other pairs)? Suppose X has p.m.f. P{X = k} = {25/26 for k = -1/5 1/26 for k = 5 Compute E[X], Var[X], and E[|X|]. Suppose the probability that our team beats A is 9/10, but the probability that our team beats B is 6/10. The probability that we play A first is 2/3; otherwise, we play B first. What is the probability that we win the first game? Given that we win the first game, what is the probability that we played B in that game? What is the probability that we play A first and lose?

Explanation / Answer

below is the probable distribution that suits above

a)Negative binomial

b) geometric distribution

c) binomia distribution

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