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: F(x) = 0 x < 0 0.09 0≤x < 1 0.21 1 3) (c) P(2 ≤ x ≤ 5) (d) P(2 < X < 5) Need Help? Read It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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 cdf of X is
as follows:
F(x) =
(b)
Calculate the following probabilities directly from the cdf:
(a)
p(2), that is, P(X = 2)
(c)
0
0.09
0.21
0.33
0.53
0.90
0.99
1
P(X > 3)
x < 0
0 < x < 1
1 ≤ x < 2
2<x<3
3 ≤ x < 4
4≤ x < 5
5 ≤X < 6
6 ≤ x
(2 ≤ x≤ 5)
(d) P(2 < X < 5)
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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: F(x) = (b) Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (c) 0 0.09 0.21 0.33 0.53 0.90 0.99 1 P(X > 3) x < 0 0 < x < 1 1 ≤ x < 2 2<x<3 3 ≤ x < 4 4≤ x < 5 5 ≤X < 6 6 ≤ x (2 ≤ x≤ 5) (d) P(2 < X < 5) Submit Answer Need Help? Read It
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