1. Let f be the probability density function of a continuous random variable X whose range is (-0,00), where I if asxsb S(x)= {32' l0 otherwise. (a) Explain why a, hence b, must be nonnegative. Graph the function f. (b) Find the value of b' -a'. 7 (c) If it is known that P(X <8) =; explain why a <88).
1. Let f be the probability density function of a continuous random variable X whose range is (-0,00), where I if asxsb S(x)= {32' l0 otherwise. (a) Explain why a, hence b, must be nonnegative. Graph the function f. (b) Find the value of b' -a'. 7 (c) If it is known that P(X <8) =; explain why a <88).
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...
Related questions
Question
100%
part D E need
Transcribed Image Text:1. Let f be the probability density function of a continuous random variable X whose
range is (-0, 00), where
if a sxsb
f(x) ={32
0 otherwise.
(a) Explain why a, hence b, must be nonnegative. Graph the function f.
(b) Find the value of b'-a.
7
(c) If it is known that P(X <8) =
explain why a <8<b; then find a and b.
16
(d) Write the formula of the cumulative distribution function F of X. Graph the
function F.
(e) Find P(7<X8), P(-1<X<8), and P(X >8).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON