Please do all parts and show your workMODE means the value of x where pdf is maximized Here is a picture of the pdf of a triangular distributionTr(a, b, c) whose support is (a,b) and whose mode is c.2b-aaCb Let X be a random variable such that X~ Tr(-1,1,0).a. Find the pdf of X, fx(x).b. Find the cdf of X, Fx(x)c. Find P(-/ < X < =).d. Find E[X]e. Find Var[X]

The problem we're dealing with involves a continuous random variable X that follows a triangular…

Answered: Let X be a random variable such that X…

Let X be a random variable such that X Tr(-1,1,0). ~ a. Find the pdf of X, fx(x). b. Find the cdf of X, Fx(x) c. Find P(-/ < X <-). d. Find E[X] e. Find Var[X]

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 21CM

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Question

Please do all parts and show your work MODE means the value of x where pdf is maximized

Here is a picture of the pdf of a triangular distribution
Tr(a, b, c) whose support is (a,b) and whose mode is c.
2
b-a
a
C
b

Let X be a random variable such that X~ Tr(-1,1,0).
a. Find the pdf of X, fx(x).
b. Find the cdf of X, Fx(x)
c. Find P(-/ < X < =).
d. Find E[X]
e. Find Var[X]

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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