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5. The density function f(x) of a continuous. random variable is given below. What is the expected value of this random variable? f(x)= {19x2 when 0

5. The density function f(x) of a continuous. random variable is given below. What is the expected value of this random variable? f(x)= {19x2 when 0

A First Course in Probability (10th Edition)
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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5. The density function f(x) of a continuous. random variable is given below. What is the expected value of this random variable? f(x)= {19x2 when 0<x<30 f(x)={19x2 otherwise 6. X~Po(9). What is the standard deviation of X? 7. X~N(-50,7). What is P(X<-55)? 8. Random variable X follows the standard normal distribution. What is the value of a such that P(-a<X<a)=0.45?
Transcribed Image Text:5. The density function f(x) of a continuous. random variable is given below. What is the expected value of this random variable? f(x)= {19x2 when 0<x<30 f(x)={19x2 otherwise 6. X~Po(9). What is the standard deviation of X? 7. X~N(-50,7). What is P(X<-55)? 8. Random variable X follows the standard normal distribution. What is the value of a such that P(-a<X<a)=0.45?
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