A project consists of two sections. Xavier does the first
section and Yashi does the second section.
A Project Consists Of Two Sections Xavier Does The First Section And Yashi Does The Second Section 1 (79.88 KiB) Viewed 21 times
The time to finish the first section is uniformly distributed from 1 hour to 4 hours, the time to finish the second section is uniformly distributed from 2 hours to 5 hours, and they are independent. Xavier and Yashi start to work on their section at the same time. 1 b-a > Note that X ~ Unif(a,b) has pdf f(x) a<3 <b; and cdf otherwise, 0, 0, x < a; -a F(x) = a<<b; b-a 2 1, b<.
What is the probability that Yashi finishes before Xavier? Show your work. Report up to four digits after the decimal place.
The project finishes when both Xavier and Yashi finish their sections. For example, if Xavier's section takes 2 hours and Yashi's section takes 4 hours, then the project ends at 4 hours. What is the probability that the project takes less than 3.5 hours? Show your work. Report up to four digits after the decimal place.
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