For a triangular distributed function with minimum value= 0, maximum value = 6, and mode = 3 of the random variable x, answer the following questions. %3D 1) Write the formula for the probability density function f(x). 2) Draw f(x). 3) Write the cumulative F(x). 4) Draw F(x). 5) Compute the mean of x. 6) compute the variance of x. 7) Compute f(4). 8) compute F(x <= 4). 9) Find the formula of the random variate. 10) If U = 0.8, what is the value of the random variate?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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For a triangular distributed function with minimum
value= 0, maximum value = 6, and mode = 3 of the
random variable x, answer the following questions.
%3D
1) Write the formula for the probability density function
f(x).
2) Draw f(x).
3)Write the cumulative F(x).
4) Draw F(x).
5) Compute the mean of x.
6) compute the variance of x.
7) Compute f(4).
8) compute F(x <= 4).
9) Find the formula of the random variate.
10) If U = 0.8, what is the value of the random variate?
Transcribed Image Text:For a triangular distributed function with minimum value= 0, maximum value = 6, and mode = 3 of the random variable x, answer the following questions. %3D 1) Write the formula for the probability density function f(x). 2) Draw f(x). 3)Write the cumulative F(x). 4) Draw F(x). 5) Compute the mean of x. 6) compute the variance of x. 7) Compute f(4). 8) compute F(x <= 4). 9) Find the formula of the random variate. 10) If U = 0.8, what is the value of the random variate?
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