À continuous random variableX has a probability density function (p.d.f) given by f(X)=K(10-X)(X-40) for 10

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

all pls dey are connected.

A continuous random variable X has a probability density function (p.d.f) given by
f(X)=K(10-X)(X-40) for 10<X < 40
|3|
=0
elsewhere
а)
Determine the value of K that will make the function f(X) above become a true p.d.f.
b) Determine the Expected value E(X)
c) Variance Var(X)
d) The value B (to two decimal places) that gives a P(X<B) of 0.75
e) Not required: possible bonus of 5 pts: Determine the median and mode of X.
f)
Fig. 1
Transcribed Image Text:A continuous random variable X has a probability density function (p.d.f) given by f(X)=K(10-X)(X-40) for 10<X < 40 |3| =0 elsewhere а) Determine the value of K that will make the function f(X) above become a true p.d.f. b) Determine the Expected value E(X) c) Variance Var(X) d) The value B (to two decimal places) that gives a P(X<B) of 0.75 e) Not required: possible bonus of 5 pts: Determine the median and mode of X. f) Fig. 1
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