Question

Problem #5 (5 points) Suppose two buses, A and B, operate on route. A person arrives at a certain bus stop on this route at time 0. Let X and Y be the arrival times of buses A and B, respectively, at this bus stop. Suppose X and Y are independent and have density functions given, respectively, by $f_1(x) = egin{cases} frac{1}{a}, & 0 le x le a, \ 0, & ext{elsewhere} end{cases}$ $f_2(y) = egin{cases} frac{1}{b}, & 0 le y le b, \ 0, & ext{elsewhere} end{cases}$ What is the probability that bus A will arrive before bus B?

          Problem #5 (5 points) Suppose two buses, A and B, operate on route. A person arrives at a certain bus stop on this route at time 0. Let X and Y be the arrival times of buses A and B, respectively, at this bus stop. Suppose X and Y are independent and have density functions given, respectively, by

$f_1(x) = egin{cases} frac{1}{a}, & 0 le x le a, \ 0, & 	ext{elsewhere} end{cases}$

$f_2(y) = egin{cases} frac{1}{b}, & 0 le y le b, \ 0, & 	ext{elsewhere} end{cases}$

What is the probability that bus A will arrive before bus B?

$Problem #5 (5 points) Suppose two buses, A and B, operate on route. A person arrives at a certain bus stop on this route at time 0. Let X and Y be the arrival times of buses A and B, respectively, at this bus stop. Suppose X and Y are independent and have density functions given, respectively, by f1(x) = egincases frac1a, 0 le x le a, 0, extelsewhere endcases f2(y) = egincases frac1b, 0 le y le b, 0, extelsewhere endcases What is the probability that bus A will arrive before bus B?$

Added by Jessica A.

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