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You just rented a large house and the realtor gave you 5 keys, one for each of the 5 doors of the house. Unfortunately, all keys look identical, so to open the front door, you try them at random. Find the PMF of the number of trials you will need to open the door, under the following alternative assumptions: A. After an unsuccessful trial, you mark the corresponding key so that you never try it again. B. At each trial you are equally likely to choose any key. Ans. A) Px (x) = 0.2, x B) Px (x) = 0.2(0.8)k-1,x = 1, 2, 3, 4,5 1, 2, 3, 4, 5 =

You just rented a large house and the realtor gave you 5 keys, one for each of the 5 doors of the house. Unfortunately, all keys look identical, so to open the front door, you try them at random. Find the PMF of the number of trials you will need to open the door, under the following alternative assumptions: A. After an unsuccessful trial, you mark the corresponding key so that you never try it again. B. At each trial you are equally likely to choose any key. Ans. A) Px (x) = 0.2, x B) Px (x) = 0.2(0.8)k-1,x = 1, 2, 3, 4,5 1, 2, 3, 4, 5 =

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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You just rented a large house and the realtor gave you 5 keys, one for each of the 5 doors of the house. Unfortunately, all keys look identical, so to open the front door, you try them at random. Find the PMF of the number of trials you will need to open the door, under the following alternative assumptions: A. After an unsuccessful trial, you mark the corresponding key so that you never try it again. B. At each trial you are equally likely to choose any key. Ans. A) Px (x) = 0.2, x = 1, 2, 3,4, 5 B) Px(x) = 0.2(0.8)k-1,x = 1,2,3, 4, 5
Transcribed Image Text:You just rented a large house and the realtor gave you 5 keys, one for each of the 5 doors of the house. Unfortunately, all keys look identical, so to open the front door, you try them at random. Find the PMF of the number of trials you will need to open the door, under the following alternative assumptions: A. After an unsuccessful trial, you mark the corresponding key so that you never try it again. B. At each trial you are equally likely to choose any key. Ans. A) Px (x) = 0.2, x = 1, 2, 3,4, 5 B) Px(x) = 0.2(0.8)k-1,x = 1,2,3, 4, 5
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