← 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 failed to g times in 10 consecutive at-bats. Suppose that a hitter successfully reaches base 42% of the time they come to the plate. Complete parts (a) through (d) below. (a) Find the probability that the hitter fails to get on base 10 times in 10 consecutive at-bats, assuming at-bats are independent events. Hint: The hitter fails to get on base 58% of the P(fails to get on base 10 consecutive times)= (Round to five decimal places as needed.) (b) Are cold streaks unusual? The probability of a cold streak is 0.05, so cold streaks unusual. (c) Interpret the probability from part (a). In repeated sets of 10 consecutive at-bats, the hitter is expected to fail to get on base in all 10 at-bats about times out of 1000. (Type a whole number.) (d) Discuss the assumption of independence in consecutive at-bats. Each at-bat is independent because the player's mental attitude of success affected by the previous times at-bat.
← 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 failed to g times in 10 consecutive at-bats. Suppose that a hitter successfully reaches base 42% of the time they come to the plate. Complete parts (a) through (d) below. (a) Find the probability that the hitter fails to get on base 10 times in 10 consecutive at-bats, assuming at-bats are independent events. Hint: The hitter fails to get on base 58% of the P(fails to get on base 10 consecutive times)= (Round to five decimal places as needed.) (b) Are cold streaks unusual? The probability of a cold streak is 0.05, so cold streaks unusual. (c) Interpret the probability from part (a). In repeated sets of 10 consecutive at-bats, the hitter is expected to fail to get on base in all 10 at-bats about times out of 1000. (Type a whole number.) (d) Discuss the assumption of independence in consecutive at-bats. Each at-bat is independent because the player's mental attitude of success affected by the previous times at-bat.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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