Let f be the probability density function of a continuous random variable X whose range is (-0, 0), where * if asxsb f(x) ={32 0 otherwise. (a) Explain why a, hence b, must be nonnegative. Graph the function f. (b) Find the value of b² -a'. 7 (c) If it is known that P(X <8) = explain why a <8
Let f be the probability density function of a continuous random variable X whose range is (-0, 0), where * if asxsb f(x) ={32 0 otherwise. (a) Explain why a, hence b, must be nonnegative. Graph the function f. (b) Find the value of b² -a'. 7 (c) If it is known that P(X <8) = explain why a <8
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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).
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