question archive Players in sports are said to have "hot streaks" and "cold streaks

Players in sports are said to have "hot streaks" and "cold streaks

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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 26% 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 74% of the time P(hitter makes 10 consecutive outs)- Round to five decimal places as needed.)

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Answer:

P(hitter makes an out) =1 - 0.26 = 0.74

P(Hitter makes 10 consecutive outs) = 0.7410

0.04924