Anna and Beth plan to meet outside the library at noon. Anna's arrival time is a and Beth's arrival time is y, where z 2 0 and y > 0 are both measured in minutes after noon. The probability density function for z and y is p(x, y). After Anna arrives, she will wait for up to 15 minutes for Beth, but Beth won't wait for Anna. What is the chance that they will meet? cu+15 T p(z,v) dz dy PI p(z,y) dz dy 0. cz+15 II P(z,y) dy dz T p(z,v) dy dz O None of the above

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Anna and Beth plan to meet outside the library at noon. Anna's arrival time is a and Beth's
arrival time is y, where a > 0 and y > 0 are both measured in minutes after noon. The
probability density function for æ and y is p(x, y). After Anna arrives, she will wait for up to 15
minutes for Beth, but Beth won't wait for Anna. What is the chance that they will meet?
u+15
II P(a, y) dz dy
0.
T P(z,u) dz dy
T P(z, u) dy da
I+15
P%| P(z,y) dy dz
O None of the above
Transcribed Image Text:Anna and Beth plan to meet outside the library at noon. Anna's arrival time is a and Beth's arrival time is y, where a > 0 and y > 0 are both measured in minutes after noon. The probability density function for æ and y is p(x, y). After Anna arrives, she will wait for up to 15 minutes for Beth, but Beth won't wait for Anna. What is the chance that they will meet? u+15 II P(a, y) dz dy 0. T P(z,u) dz dy T P(z, u) dy da I+15 P%| P(z,y) dy dz O None of the above
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