Problem Pi. Consider the following probability density function (pdf) for some continuous random variable X defined by { * 372 f (x) = 64 if 0 1) (b)The expected value of X, (i.e., E(X)) (c)The expected value of X², (i.e., E(X²) ) (d)The variance of X, (i.e., V(X) )
Problem Pi. Consider the following probability density function (pdf) for some continuous random variable X defined by { * 372 f (x) = 64 if 0 1) (b)The expected value of X, (i.e., E(X)) (c)The expected value of X², (i.e., E(X²) ) (d)The variance of X, (i.e., V(X) )
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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Please solve P1
Transcribed Image Text:Problem P1.
Consider the following probability density function (pdf) for some continuous random variable X defined by
{
3x2
64
f (x) =
if 0<x < 4
elsewhere
Compute each of the following:
(a) p(x > 1)
(b)The expected value of X, (i.e., E(X) )
(c)The expected value of X², (i.e., E(X²) )
(d)The variance of X, (i.e., V(X))
(e) Find the 85th percentile value of X? ( Hint: Find M such that p(x < M) = .85 )
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