Players in sports are said to have \"hot streaks and \"cold streaks\". For examp

Question

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, d that player has made 10 outs in 10 consecutive at-bats. Suppose that a hitter successfully reaches base 27% of the time he comes to the plate. Complete parts (a) trough (c). (a) Find the probability that the makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events. P(hitter makes 10 consecutive outs) = (Type an integer or decimal rounded to five decimal places as needed)

Explanation / Answer

Solution :

The probability of one out in a row is 73% = 0.73.

The probability of 2 outs in a row is 0.73 * 0.73 = 0.5329

So the probability of 10 outs in 10 consecutive at-bats is,

P(hitter makes 10 consecutive outs ) = (0.73)^10 = 0.04298 = 4.298%

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