Question: Question shown below Exercise 2. Random variables. Suppose a child plays outside in the yard. On their own, they come back inside at a random

Question shown below

Exercise 2. Random variables. Suppose a child plays outside in the yard. On their own, they come back inside at a random time uniformly distributed on the interval [0, 1] (Take the units to be hours.) However, if the child is not back in 50 minutes, their mother brings them in. Let X be the time when they come back in. 1. What is the cumulative distribution function F of X 7 2. Find ]E[X]., 3. Find Var[X]

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