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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 cd of X is as follows: X < 0 0.07 OSx<1 1 3) 0.45 (c) P(2 < XS 5) 0.71 (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 cd of X is as follows: X < 0 0.07 OSx<1 1 3) 0.45 (c) P(2 < XS 5) 0.71 (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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Part D

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 sx < 1 13x< 2 2 <x < 3 3 <x < 4 4 <x < 5 0.96 5 S X < 6 6 Sx 0.07 0.25 0.40 F(x) = 0.55 0.80 Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) 0.15 (b) P(X > 3) 0.45 (c) P(2 < X < 5) 0.71 (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 sx < 1 13x< 2 2 <x < 3 3 <x < 4 4 <x < 5 0.96 5 S X < 6 6 Sx 0.07 0.25 0.40 F(x) = 0.55 0.80 Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) 0.15 (b) P(X > 3) 0.45 (c) P(2 < X < 5) 0.71 (d) P(2 < X < 5)
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