# Question: 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.

## Answer to relevant Questions

In a recent basketball game, a player who makes 65% of his free throws made eight consecutive free throws. Assuming that free-throw shots are independent, determine whether this feat was unusual. According to Internal Revenue Service records, 6.42% of all household tax returns are audited. According to the Humane Society, 39% of all households own a dog. Assuming dog ownership and audits are independent events, what ...Suppose that a single card is selected from a standard 52-card deck. What is the probability that the card drawn is a club? Now suppose that a single card is drawn from a standard 52-card deck, but we are told that the card ...The following data represent the number of trafﬁc fatalities in the United States in 2009 by seat location and gender. (a) Among female fatalities, what is the probability that a randomly selected fatality is the ...Due to a manufacturing error, three cans of regular soda were accidentally ﬁlled with diet soda and placed into a 12-pack. Suppose that two cans are randomly selected from the 12-pack. (a) Determine the probability that ...Post your question