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)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 1TFE: True or False Label each of the following statement as either true or false. 1. Parity check...
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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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