Let x be a uniformly distributed continuous random variable, Civil Engineering

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Let x be a uniformly distributed continuous random variable

Let X be a uniformly distributed continuous random variable ranging between 5 and 8, X ~ U[5 , 8]. Variable Y is a function of X: Y: h(X)= 2X^2+1

a. Determine the PDF of Y.
b. Find the expected value of Y.
c. Find the variance of Y.
d. Find the probability of Y > 100? Note that P(Y>y) = P(X=x) where y = h(x).
e. What is the first order approximation for the mean (expected value) of Y?

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Civil Engineering: Let x be a uniformly distributed continuous random variable

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Civil Engineering: Let x be a uniformly distributed continuous random variable

Reference No:- TGS0645763

Have a Question? (oR Write a Review)

Recent Questions Asked Civil Engineering

Q : Design an audio amplifier using a jfet and a 20-volt power

Q : Indicate data dependency in the above code assuming there

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Q : Let x be a uniformly distributed continuous random variable

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Request for Solution File

Ask an Expert for Answer!!

Civil Engineering: Let x be a uniformly distributed continuous random variable

Reference No:- TGS0645763

Recent Questions Asked Civil Engineering

Q : Design an audio amplifier using a jfet and a 20-volt power

Q : Indicate data dependency in the above code assuming there

Q : Create a program that functions as a simple boolean

Q : Fit a linear regression model as in q5 and plot your

Q : Let x be a uniformly distributed continuous random variable

Q : An object is 5 cm from an equi-convex lens of focal length

Q : The initial investment is 12000 there is no annual

Q : Write a program using functions to do the following

Q : Two lenses having focal lengths of f115 cm and f29 cm are

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