A bank operates both a drive up facility and a walk-up window. On a randomly selected day, let X= the proportion of time that drive-up facility is in use (at least one customer is being served or waling to be served) and Y= the proportion of time that the walk-up window is in use. Suppose that the joint probability density of X and Y is given below. Find the probability that neither tackity is busy more than one quarter of the time. (* + y) 0sxs1,0sysi otherwise O 0.011 O 0.145 O 0.717 O 0.891

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X= the proportion of time that drive-up facility is in use (at least one customer is being served or waling to
be served) and Y= the proportion of time that the walk-up window is in use. Suppose that the joint probability density of X and Y is given below.. Find the probability that neither faclity is busy more than
one quarter of the time.
,9) =
0sxs1,0sysi
otherwise
0.011
0.145
0.717
0.891
Transcribed Image Text:A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X= the proportion of time that drive-up facility is in use (at least one customer is being served or waling to be served) and Y= the proportion of time that the walk-up window is in use. Suppose that the joint probability density of X and Y is given below.. Find the probability that neither faclity is busy more than one quarter of the time. ,9) = 0sxs1,0sysi otherwise 0.011 0.145 0.717 0.891
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