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 0.07 Osx<1 0.22 1sx< 2 0.32 2 sx < 3 F(x) = 0.62 3 sx< 4 0.83 4 sx< 5 5 sx< 6 6 s x 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 sXs 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 0.07 Osx<1 0.22 1sx< 2 0.32 2 sx < 3 F(x) = 0.62 3 sx< 4 0.83 4 sx< 5 5 sx< 6 6 s x 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 sXs 5)
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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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
Osx< 1
0.22
1sx< 2
0.32
2 sx< 3
F(x) =
%3D
3 sx< 4
4 sx < 5
0.62
0.83
0.96
5 sx< 6
1
Calculate the following probabilities directly from the cdf:
(a) p(2), that is, P(X = 2)
(b) P(X > 3)
(c)
P(2 s Xs 5)
(d)
P(2 < x < 5)
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