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A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![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?
2. Find E[X].,
3. Find Var[X].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae0beebe-ec3e-4f67-9134-120b9ee8b0ec%2Fad13cd59-32ff-4afc-92a2-b17748f47962%2Fpyg2uu_processed.png&w=3840&q=75)
Transcribed Image Text: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?
2. Find E[X].,
3. Find Var[X].
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