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Players in sports are said to have hot streaks and

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 he has made 10 outs in 10 consecutive at-bats. Suppose that a hitter successfully reaches base 30% of the time he comes to the plate.

(a) Find and interpret the probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming that at-bats are independent events.

(b) Are cold streaks unusual?

(c) Find the probability the hitter makes ﬁve consecutive outs and then reaches base safely.

(a) Find and interpret the probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming that at-bats are independent events.

(b) Are cold streaks unusual?

(c) Find the probability the hitter makes ﬁve consecutive outs and then reaches base safely.

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