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Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (b) P(X > 3) (c) P(2 < X S 5)

Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (b) P(X > 3) (c) P(2 < X S 5)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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: 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) (b) P(X > 3) (c) P(2 < X < 5) (d) P(2 < X < 5) O O
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: 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) (b) P(X > 3) (c) P(2 < X < 5) (d) P(2 < X < 5) O O
Expert Solution
Step 1

The cumulative distribution function F(x) is defined as

F(x) = P(X ≤ 2)

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