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)
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 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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