Stat 321 – HW 3

1) Exercise 47 parts (a), (c), and (e) (p. 74)

2) Exercise 60 (p. 75)

3) In tennis, when you serve, if the “first serve” lands in, the point is played until one of the players loses the point. If the first serve is out, the server can then hit a second serve, and that serve is played until one of the players loses the point. Suppose a tennis player wins 76% of the points for which is first serve lands in (so the probability of winning the point if the first serve is in is .76) and 43% of the point in which his first serve does not land in. Also suppose his first serve lands in for 64% of the points he serves. Use this information to determine the probability that this player wins a point when he serves.

4) Exercise 70 (p. 80)

5) Exercise 77 (p. 80)

6) Suppose that two fair dice are rolled.  Consider the events A={sum is 7} and B={the first die lands on 2}.
a)    Are A and B mutually exclusive?  Justify your answer.
b)    Are A and B independent? Justify your answer with appropriate calculations.