4. A branch of a certain bank in Davao City 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 .06 0sx< 1 .19 1sx< 2 .39 2sx<3 F(x) = .67 3 sx< 4 .92 4 sx<5 .97 5sx<6 1 6 5x Calculate the following probabilities directly from the cdf: a) P(2), that is, P(X = 2) b) P(X > 3) c) P(2< X <5)
4. A branch of a certain bank in Davao City 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 .06 0sx< 1 .19 1sx< 2 .39 2sx<3 F(x) = .67 3 sx< 4 .92 4 sx<5 .97 5sx<6 1 6 5x Calculate the following probabilities directly from the cdf: a) P(2), that is, P(X = 2) b) P(X > 3) c) P(2< X <5)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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:4. A branch of a certain bank in Davao City 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
.06 0sx<1
.19 1sx<2
.39 2<x<3
F(x) =
.67 3 sx< 4
.92 4 <x< 5
.97 5sx< 6
1
Calculate the following probabilities directly from the cdf:
a) P(2), that is, P(X = 2)
b) P(X> 3)
c) P(2sX 55)
d) P(2 <X < 5)
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