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 0.04 0≤x<1 0.24 1 3) 5 ≤x≤6 6 ≤X (c) P(2 ≤x≤5)

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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
x < 0
0.04
0 ≤ x < 1
0.24 1<x<2
0.33 2≤x<3
0.60
3<x<4
0.87
0.99
1
(d)
4 ≤ x<5
5≤x <6
6 ≤x
P(X > 3)
P(2 ≤x≤5)
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: F(X) = (b) Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (c) 0 x < 0 0.04 0 ≤ x < 1 0.24 1<x<2 0.33 2≤x<3 0.60 3<x<4 0.87 0.99 1 (d) 4 ≤ x<5 5≤x <6 6 ≤x P(X > 3) P(2 ≤x≤5) P(2 < X <5)
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