Exercise 3.3 Suppose that the probability density function of X is f (x) = ] 3x?, 0, 0

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Answer exercise 3.3

Exercise 3.3 Suppose that the probability density function ofX is
f (x) = 3x?,
0,
0 <x< 1
elsewhere
Determine P(X < 1/3), P(1/3 <X<2/3), and P(X > 2/3).
Exercise 3.4 In Exercise 3.3, the probability density function of X is
f (x) = 3x,
0,
0<x<1
elsewhere
Determine the cumulative distribution function of X.
Transcribed Image Text:Exercise 3.3 Suppose that the probability density function ofX is f (x) = 3x?, 0, 0 <x< 1 elsewhere Determine P(X < 1/3), P(1/3 <X<2/3), and P(X > 2/3). Exercise 3.4 In Exercise 3.3, the probability density function of X is f (x) = 3x, 0, 0<x<1 elsewhere Determine the cumulative distribution function of X.
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