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 42% 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 58% of the time. P(hitter makes 10 consecutive outs) =| (Round to five decimal places as needed.) (b) Are cold streaks unusual? The probability of a cold streak is V 0.05, so cold streaks V unusual. (c) Interpret the probability from part (a). In repeated sets of 10 consecutive at-bats, the hitter is expected to make an out in all 10 at-bats about (Type a whole number.) times out of 1000.

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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 42% 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 58% of the time.
P(hitter makes 10 consecutive outs) =|
(Round to five decimal places as needed.)
%3D
(b) Are cold streaks unusual?
The probability of a cold streak is
V0.05, so cold streaks
unusual.
(c) Interpret the probability from part (a).
In repeated sets of 10 consecutive at-bats, the hitter is expected to make an out in all 10 at-bats about
(Type a whole number.)
times out of 1000.
Transcribed Image Text: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 42% 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 58% of the time. P(hitter makes 10 consecutive outs) =| (Round to five decimal places as needed.) %3D (b) Are cold streaks unusual? The probability of a cold streak is V0.05, so cold streaks unusual. (c) Interpret the probability from part (a). In repeated sets of 10 consecutive at-bats, the hitter is expected to make an out in all 10 at-bats about (Type a whole number.) times out of 1000.
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