386 381 ALGEBRA 2 Alternate Exam 6 continued r 7 on a fair c

386 381 ALGEBRA, 2 Alternate Exam 6 continued r. 7, on a fair coin, each side has an equal probability of coming up. When a fair coin is flipped n times, the most likely outcome (the mean) is that each side will come up times, with a standard deviation of a n. Megan flips a coin 50 times. She will conclude that the coin is unfair if the number of times either side is flipped is outside l 5 standard deviations of the mean. Show your calculations to complete the statement below. The coin will be considered fair if her results show \"heads\" at least more than 2 times times and no 18. A studio needs 3 actors for their short comedy film. The 6 actors available are Moe, Larry, Curly, Shemp, Joe, and Curly Joe r. von a) How many different combinations 3 the studio choose? b) of actors can the studio one of the actors. How may different combinationsof3actors can now choose? c) Suppose Moe must be one of the actors, but also that Shemp refuses to work with either Joe or Curly Joe. Now how many different combinations of 3 actors can the studio select? (more) AMERICAN SCHOOL Lansing, IL A (1083)- 07/14-06

Solution

17 . sigma = 1.5 mean then coin is unfair.

mean = n/2 = 50/2 = 25

standar deviation = 1.5*25 = 37.5

no of times coin unfair = 37

The coin will be consider fair if the coin shows 13 times head and no more than 25 times.