Alice and Mark both own a YouTube channel. Alice's channel gets 6 views per minute on average, while Mark's channel gets 5 views per minute on average. Suppose Alice and Mark's channels are independent. Find the probability that Alice's channel gets a view before Mark's. (Hint: Compute a double integral that calculates P (X < Y ), where X and Y are exponential distributions. Because X and Y are independent, f(x,y) is the product of the probability density functions of X and Y .)

Reference: Poisson distribution and Exponential distribution