5-Let X be a random variable with probability density Functionf(x) = {c (1-x³)1a) What is the value of c that make f(x) a pdf?x³ +1F(x)9F(x)=b) What is P(X)c) What is P(X>IX > -)0x³ +131J- 1-1- 1 3- Remission time for a certain group of leukaemia patients (X, measured in months)Has cdf0,F(X) = {₁º- e-x/³,x < 0x ≥ 0a) Find the pdfb) What is the probability that a random selected patient will be in remission for 2 to 5month?

5 -Let X be a random variable with probability density Function - f(x) = {¤ (1 − x³) 0 a) What is the value of c that make f(x) a pdf? x³ +1 F(x) = F(x) = b) What is P(X) c) What is P(X> IX > -) 9 0 x³ + 1 3 1 " - 1-1 - 1

5 -Let X be a random variable with probability density Function - f(x) = {¤ (1 − x³) 0 a) What is the value of c that make f(x) a pdf? x³ +1 F(x) = F(x) = b) What is P(X) c) What is P(X> IX > -) 9 0 x³ + 1 3 1 " - 1-1 - 1

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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Question

5-Let X be a random variable with probability density Function
f(x) = {c (1-x³)
1
a) What is the value of c that make f(x) a pdf?
x³ +1
F(x)
9
F(x)
=
b) What is P(X)
c) What is P(X>IX > -)
0
x³ +1
3
1
J
- 1<x< 1
otherwise
-∞ < x <∞0
x>-1
- 1<x<2
x < 2

3- Remission time for a certain group of leukaemia patients (X, measured in months)
Has cdf
0,
F(X) = {₁º- e-x/³,
x < 0
x ≥ 0
a) Find the pdf
b) What is the probability that a random selected patient will be in remission for 2 to 5
month?

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