probability density function for (X, Y) is as follows. Compute the probability that neither railroad is busy more than 3/4 of the time.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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EasyNoSweat train company operates with two railroads. Let X be the
proportion of time that the first railroad is in use whereas Y is the
proportion of time that the second one is in use. Suppose that the joint
probability density function for (X, Y) is as follows. Compute the
probability that neither railroad is busy more than 3/4 of the time.
S(x, y) = { ?(x² +y*), 0<r,y< 1,
10,
f (x, y) =
I
elsewhere.
) 0.45
None of these (Place answer in solution paper)
O 0.1324
O 0.25
O 0.30
O O O
Transcribed Image Text:EasyNoSweat train company operates with two railroads. Let X be the proportion of time that the first railroad is in use whereas Y is the proportion of time that the second one is in use. Suppose that the joint probability density function for (X, Y) is as follows. Compute the probability that neither railroad is busy more than 3/4 of the time. S(x, y) = { ?(x² +y*), 0<r,y< 1, 10, f (x, y) = I elsewhere. ) 0.45 None of these (Place answer in solution paper) O 0.1324 O 0.25 O 0.30 O O O
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