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A branch of a certain bank has six ATMS. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: x < 0 0.07 osx< 1 0.25 1Sx< 2 0.40 2sx < 3 0.55 3 Sx < 4 0.80 4 sx < 5 0.96 5 3) (c) P(2 SXS 5) (d) P(2 < X < 5)

A branch of a certain bank has six ATMS. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: x < 0 0.07 osx< 1 0.25 1Sx< 2 0.40 2sx < 3 0.55 3 Sx < 4 0.80 4 sx < 5 0.96 5 3) (c) P(2 SXS 5) (d) P(2 < X < 5)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A branch of a certain bank has six ATMS. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: x < 0 0.07 0Sx < 1 1<x < 2 2 sx < 3 0.25 0.40 F(x) = 0.55 3 sx< 4 4 <x < 5 5 Sx < 6 6 SX 0.80 0.96 1 Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (b) P(X > 3) (c) P(2 < XS 5) (d) P(2 < X < 5)
Transcribed Image Text:A branch of a certain bank has six ATMS. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: x < 0 0.07 0Sx < 1 1<x < 2 2 sx < 3 0.25 0.40 F(x) = 0.55 3 sx< 4 4 <x < 5 5 Sx < 6 6 SX 0.80 0.96 1 Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (b) P(X > 3) (c) P(2 < XS 5) (d) P(2 < X < 5)
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