Math Questions. 10 points.?

Math Questions. 10 points.?




I have a homework assignment and these are the only questions stumping me below. Best answer with explanation gets the 10 points.



15. 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 30% of the time he/she comes to the plate. 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 70% of the time.









16. From #15, are “cold streaks” considered to be unusual?





17. Among 25- to 30-year-olds, 40% say that they have used a computer while under the influence of peer pressure. Suppose four 25- to 30-year-olds are selected at random. What is the probability that all four have used the computer while under the influence of peer pressure?







18. Using the information in #17, What is the probability that none of the four have used the computer while under the influence of peer pressure?







19. Using the information in #17, what is the probability that at least one has not used a computer while under the influence of peer pressure?





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