Question
Two different and independent bus routes come to the same stop then both continue to the train station. From route X there are typically 2.5 buses arriving every 10 minutes. While buses from route Y will arrive at the stop with uniform randomness anywhere from between 0 and 9 minutes since the last bus from route Y.

(1 pont) Two different and ndependent bus routes come to the same stop, then both contrue to the tran station From route Χ there are typical·25 buses ammgevery 10 Y will arrive at the stop with uniform randomness anywhere from between 0 to 9 minutes since the last bus from route Y You arrived at the stop just in time to miss the previous bus, which happened to be from route Y (a) What is the probability that a Bus from route X will arrive before the next Bus from route Y? (ind the joint distribution and set up the integral, no need to evakuate) Instructions p ease enter the integrand n the first answer box Depending on the order oe ntegration you choose enter dy and dr n ether order to he second and owd ans er bones sen only one dy 0, Remaining tme 151 23 (min s each box Then, enter the limits of integration -4x)(LT) dx dy
(b) What is the probability that the next bus from route X and the next bus from route Y wil arivne within a minute from each other? (note the arder of integration, then ove the proper missing mt Remaning tme 151 23 f(z, y) dzdy + f(z, y) drdy if rounding use at least 4 digits after the decimal point) i rounding, use at least 4 digits after the decimal point) i rounding. use at least 4 digits after the decimal point rounding, use at least 4 digits after the decimal point) t rounding, use at least 4 digits after the decimal point) d rounding. use at least 4 digits after the decimal point) if rounding,use at least 4 digits after the decimal point) B- O Da G y
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