A branch of a certain bank in New York City 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. Calculate the following probabilities directly form the cdf: (i) p(2), that is, P(X = 2); (ii) P(X > 3); (iii) P (2 ≤ X ≤ 5); (iv) P(2 < X < 5). 0 x < 0 0.06 0 ≤ x < 1 0.19 1 ≤ x < 2 F(x) = { 0.39 2 ≤ x < 3 0.67 3 ≤ x < 4 0.92 4 ≤ x < 5 0.97 5 ≤ x < 6 1 6 ≤ x
A branch of a certain bank in New York City 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. Calculate the following probabilities directly form the cdf: (i) p(2), that is, P(X = 2); (ii) P(X > 3); (iii) P (2 ≤ X ≤ 5); (iv) P(2 < X < 5). 0 x < 0 0.06 0 ≤ x < 1 0.19 1 ≤ x < 2 F(x) = { 0.39 2 ≤ x < 3 0.67 3 ≤ x < 4 0.92 4 ≤ x < 5 0.97 5 ≤ x < 6 1 6 ≤ x
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 48E: The following table shows frequencies for red-green color blindness, where M represents person is...
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A branch of a certain bank in New York City 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. Calculate the following probabilities directly form the cdf: (i) p(2), that is, P(X = 2); (ii) P(X > 3); (iii) P (2 ≤ X ≤ 5); (iv) P(2 < X < 5).
0 x < 0
0.06 0 ≤ x < 1
0.19 1 ≤ x < 2
F(x) = { 0.39 2 ≤ x < 3
0.67 3 ≤ x < 4
0.92 4 ≤ x < 5
0.97 5 ≤ x < 6
1 6 ≤ x
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