a) A continuous random variable can be represented as X e R. (True/False).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Q2
(а)
A continuous random variable can be represented as X e R. (True/False).
(b)
Give two examples of an event that represents a continuous random variable.
Given probability density function for continuous random variable X as below
where h is a constant.
(c)
(h
(2-x)
0<x<1
f (x)
hx
1<x< 3
otherwise
(i)
(ii)
Find the value of h.
Calculate P(1 <X< 5).
(iii)
Calculate P(X> 2)
Transcribed Image Text:Q2 (а) A continuous random variable can be represented as X e R. (True/False). (b) Give two examples of an event that represents a continuous random variable. Given probability density function for continuous random variable X as below where h is a constant. (c) (h (2-x) 0<x<1 f (x) hx 1<x< 3 otherwise (i) (ii) Find the value of h. Calculate P(1 <X< 5). (iii) Calculate P(X> 2)
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