STAT 330
Iowa State University
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Module 3 Homework Solutions - Iowa State University STAT 330
- Exam (elaborations) • 6 pages • 2023
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Stat 330 Online: Module 3 Homework 
Show all of your work, and upload this homework to Canvas. 
1. Suppose a continuous random variable X has the following probability density function 
fX(x) = 
cx 0 ≤ x ≤ 2 
0 otherwise 
(a) Find the value of c that makes fX(x) a valid probability density function. (Recall a property that 
a PDF must have) 
(b) Give the CDF, FX(x). 
(c) Find P(0.5 ≤ X ≤ 1.5) using fX(x). 
(d) Find P(1 ≤ X ≤ 2) using FX(x). 
(e) Find the value of x such that the pr...
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Stat 330: Module 3 Homework Solution - All Answers are Correct
- Exam (elaborations) • 8 pages • 2023
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- $8.99
- + learn more
Stat 330: Module 3 Homework Solution 
Show all of your work, and upload this homework to Canvas. 
1. Suppose a continuous random variable X has the following probability density function 
fX(x) = 
kx(1 − x) 0 ≤ x ≤ 1 
0 otherwise 
(a) Find the value of k that makes fX(x) a valid probability density function. (Recall a property that 
a PDF must have) 
(b) Give the CDF, FX(x). 
(c) Find P(0.5 ≤ X ≤ 1) using fX(x). 
(d) Find P(0 ≤ X ≤ .75) using FX(x). 
(e) Find E(X). 
(f) Find V ar...
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