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Mathematics, 14.06.2021 15:40 qudoniselmore0

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
0.06 0 ≤ x < 1
0.16 1 ≤ x < 2
0.33 2 ≤ x < 3
0.69 3 ≤ x < 4
0.92 4 ≤ x < 5
0.99 5 ≤ x < 6
1 6 ≤ x

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)
d. P(2 < X < 5)

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