I applied to Qualcomm, USA through the website. About two months after applying, I received an interview call. The questions focused on my resume and basic stochastic and probability concepts. I then received another interview call with a similar set of questions. I was told about the work description at the San Diego office. Two weeks later, I had two interviews lined up with the Bridgewater office for a research intern position. All four of my interviews went quite well.

After another two weeks, I received an offer from the Bridgewater office, which I accepted. The entire process took about three to four months.

Suppose I choose two random variables uniformly distributed between [0, 1]. What is the probability distribution of the maximum of the two random variables?