Problem #8: Suppose that a random variable X' has the following probability density function. f(x) = {C(4-x²) 0≤x≤2 o otherwise Problem #8: Find the expected value of X. (You will need to find the value of the constant C so that f is a pdf.)
Problem #8: Suppose that a random variable X' has the following probability density function. f(x) = {C(4-x²) 0≤x≤2 o otherwise Problem #8: Find the expected value of X. (You will need to find the value of the constant C so that f is a pdf.)
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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Transcribed Image Text:Problem #8: Suppose that a random variable X'has the following probability density function.
f(x) =
{C(4-x²) 0≤x≤2
otherwise
Problem #8:
Find the expected value of X.
(You will need to find the value of the constant C so that f is a pdf.)
Transcribed Image Text:Problem #9: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street crossing is a random
variable with the following pdf.
Problem #9:
f(x)
(1-x/64)² 0<x< 64
otherwise
{a
64
If you use this crossing every day for the next 6 days, what is the probability that you will wait for at least 10
seconds on exactly 2 of those days?
Round your answer to 4 decimals.
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