(d) P(2 < X < 5)

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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)
Transcribed Image Text: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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