Solution Found!
Determine the mean and variance of the random
Chapter 4, Problem 39E(choose chapter or problem)
QUESTION:
Determine the mean and variance of the random variable in Exercise 4-1.
4-1(+) suppose that \(f(x)=e^{-x}\) for 0 < x. Determine the following:
\(P(1<X)\)\(P(1<X<2.5)\)\(P(X=3)\)\(P(X<4)\)\(P(3 \leq X)\)X such that \(P(x<X)=0.10\)X such that \(P(X \leq x)=0.10\)Equation transcription:
Text transcription:
f(x)=e^{-x}
P(1<X)
P(1<X<2.5)
P(X=3)
P(X<4)
P(3 \leq X)
P(x<X)=0.10
P(X \leq x)=0.10
Questions & Answers
QUESTION:
Determine the mean and variance of the random variable in Exercise 4-1.
4-1(+) suppose that \(f(x)=e^{-x}\) for 0 < x. Determine the following:
\(P(1<X)\)\(P(1<X<2.5)\)\(P(X=3)\)\(P(X<4)\)\(P(3 \leq X)\)X such that \(P(x<X)=0.10\)X such that \(P(X \leq x)=0.10\)Equation transcription:
Text transcription:
f(x)=e^{-x}
P(1<X)
P(1<X<2.5)
P(X=3)
P(X<4)
P(3 \leq X)
P(x<X)=0.10
P(X \leq x)=0.10
ANSWER:Solution:
Step 1 of 2:
Here It is given that X has the probability density function f(x)=;0<x.
Using this we need to find the mean and the variance of X.