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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 3CR
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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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