CH 5 QUESTION 22

Players in sports are said to have "hot streaks" and "cold streaks." For example, a batter in baseball might be considered to be in a slump, or cold streak, if that player has made 10 outs in 10 consecutive at-bats. Suppose that a hitter successfully reaches base 36% of the time he comes to the plate. Complete parts (a) through (c) below.

(a) Find the probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events. Hint: The hitter makes an out 64%of the time.

P(hitter makes 10 consecutive outs)=