Practice Exam #2 iven your answers to questions 25 and 26, what is the probabili

Question

Practice Exam #2 iven your answers to questions 25 and 26, what is the probability that a randomly appointed 3 person panel will consist only of 27. decimal places. *Show work Democrats? Rosund your answer For questions "28 through 30, use the following information: 4 people get into the elevator in the lobby of a five-story building (ie, there are 4 floors above them) and they are all going up. Each of them must choose a floor on which to exit, and each choice could be one of the floors 12, 3, 4,5). Por questions "28 and "29, show your work. If a counting formula is used, show its implementation with correct numeric values in place "28. Find the number of ways the people could exit the elevator 28_ 29. Find the number of ways the people could all exit to different floors If the floor selections are made at random, find the probability that the four people will all exit to different floors. .30. SO, Show work For questions 31 through "34, use the following information: Based on historikcal data, the table below shows the probabälities associated with a person catching x cutthroat trout ina 6-hour period on Pyramid Lake, Nevada. P 0440%015 004 0.01 ly 4 or more, but will be treated as 4 for the purposes of this practice exam.) 31. 31. What is the probability of catching more than 1 cutthroat trout in a 6-hour period? Show work "32. 32 What is the probability of catching at most 2 cuthroat trout in a 6-hour period? Show work "33. Find the expected number of cutthroat trout that a person will catch in a 6-hour period. Round your answer to two decimal places. (3 points) Show work

Explanation / Answer

Question 28 to 30:

28) Number of ways that the 4 people can exit the elevator is computed as:

= Number of ways that each person can exit * Number of ways that each person can exit *Number of ways that each person can exit *Number of ways that each person can exit

= 4*4*4*4

= 44

= 256

Therefore there are 256 ways here for 4 people to exit the elevator.

29) Number of ways that all 4 people could exit on different floors is computed as the permutation of 4 items taken 4 at a time that is 4*3*2*1 = 24

Therefore there are 24 ways here for 4 people to exit the elevator.

30) Probability that all 4 people will exit on different floors is computed as:

= Number of ways that all 4 people exit on different floors / Total number of ways the people could exit the elevator

= 24 / 256

= 0.09375

Therefore 0.094 is the required probability here. ( rounded to 3 decimal places)

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