Question

In Exercises 3-5, find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities. 3. Thirty-six percent of Americans think there is stil a need for the practice of changing their clocks for Daylight Savings Time. You randomly select seven Americans. Find the probability that the number of Americans who say there is still a need for changing their clocks for Daylight Savings Time is (a) exactly four, (b) less than two, and (c) at least six. (Source: Rasmussen Reports) 4. In a recent season, hockey player Evgeni Malkin scored 27 goals in 57 games he played. Assume that his goal production stayed at that level for the next season. Find the probability that he would get his first goal (a) in the first game of the season, (b) in the second game of the season, (c) within the first three games of the season, and (d) not within the first three games of the season. (Source: National Hockey League) 5. During a 10-year period, sharks killed an average of 6.1 people each year worldwide. Find the probability that the number of people killed by sharks next year is (a) exactly three, (b) more than six, and (c) at most five. (Source: International Shark Attack File)

Answer 1

0 . 14g G.1 거, p(X s), 0.4291.