I need some help with this question. The d.) section for the question A branch of a certain bank has six ATMS. Let X represent the number of machinesuse at a particular time of day. The cdf of X is as follows:X < 00 < x < 11 < x < 22 < x < 33 < x < 44 < x < 55 < x < 66 < x0.070.210.42F(x) =0.690.820.961Calculate the following probabilities directly from the cdf:(a) p(2), that is, P(X = 2)0.21(b)P(X > 3)0.31(c)P(2 < X < 5)0.75(d) P(2 < X < 5)

Answered: (d) P(2 < X < 5)

Math

Statistics

(d) P(2 < X < 5)

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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I need some help with this question. The d.) section for the question

A branch of a certain bank has six ATMS. Let X represent the number of machines
use at a particular time of day. The cdf of X is as follows:
X < 0
0 < x < 1
1 < x < 2
2 < x < 3
3 < x < 4
4 < x < 5
5 < x < 6
6 < x
0.07
0.21
0.42
F(x) =
0.69
0.82
0.96
1
Calculate the following probabilities directly from the cdf:
(a) p(2), that is, P(X = 2)
0.21
(b)
P(X > 3)
0.31
(c)
P(2 < X < 5)
0.75
(d) P(2 < X < 5)

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Note: I have answered (d) part only since you have asked specifically.

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