Let X denote the time (in hours) that a student study for the exam. The probability density function of X is f(x) is given as follow: 3 608 f(x)=- 11x². (-) 2 R₁:0≤x≤4 Show that if f(x) is a probability density function. a) b) Find the probability P(X<2). c) Find the probability P(2 < X < 3). W.
Let X denote the time (in hours) that a student study for the exam. The probability density function of X is f(x) is given as follow: 3 608 f(x)=- 11x². (-) 2 R₁:0≤x≤4 Show that if f(x) is a probability density function. a) b) Find the probability P(X<2). c) Find the probability P(2 < X < 3). W.
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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Transcribed Image Text:Question 3: continues random variable
Let X denote the time (in hours) that a student study for the exam. The probability density
function of X is f(x) is given as follow:
3
608
f(x)=- 11x².
a)
b)
c)
2
R₂:0≤x≤4
Show that if f(x) is a probability density function.
Find the probability P(X<2).
Find the probability P(2 < X < 3).
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