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5. Answer the following for the random variable X whose density function is f(x). f(x) = {840x³(1-x)6 0

5. Answer the following for the random variable X whose density function is f(x). f(x) = {840x³(1-x)6 0

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 28E
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  1. Answer the following for the random variable X whose density function is f(x).

  f(x) = 840x^3(1-x)^6     0<x<1

 

  1. Find the mean and the variance.

 

Mean: _________________         Variance: _________________

 

 

 

 

 

  1. P(0.8 < X < 1) = ______________________

 

 

6. Answer the following for the random variable X whose density function is f(x). f(x) = {840x³(1 − x)6_0<x<1 0 elsewhere a. Find the mean and the variance. Mean: b. P(0.8 < X < 1) = Variance:
Transcribed Image Text:6. Answer the following for the random variable X whose density function is f(x). f(x) = {840x³(1 − x)6_0<x<1 0 elsewhere a. Find the mean and the variance. Mean: b. P(0.8 < X < 1) = Variance:
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