Problem 8: Consider the density function f(x) = a) Evaluate k. b) Find F(x). c) Use F(x) to evaluate P(2 < X < 3). k £* X4' x > 1, 0, x ≤ 1

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Please solve explaing each step please

Problem 8:
Consider the density function
f(x) = x4'
0,
a) Evaluate k.
b) Find F(x).
c) Use F(x) to evaluate P(2 < X < 3).
x > 1,
x ≤ 1
Transcribed Image Text:Problem 8: Consider the density function f(x) = x4' 0, a) Evaluate k. b) Find F(x). c) Use F(x) to evaluate P(2 < X < 3). x > 1, x ≤ 1
Expert Solution
Step 1

We know the density function;

f(x)=kx4,x>10,x1

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Follow-up Question

Its really hard to follow, why did it become -1?

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