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Unit 9: Variance of a Random Variable and their Properties
4. You are told that the time to service a car at a service station is uncertain with following Notes
probability density function:
f(x) = 3x - 2x + 1 for 0 £ x £ 2
2
= 0 otherwise.
Examine whether this is a valid probability density function?
5. Find mean and variance of the following probability distribution :
X : - 20 - 10 30
3 1 1
p(X) :
10 5 2
Answers: Self Assessment
1. (a) 2. (b) 3. (c) 4. (d)
9.6 Further Readings
Books Introductory Probability and Statistical Applications by P.L. Meyer
Introduction to Mathematical Statistics by Hogg and Craig
Fundamentals of Mathematical Statistics by S.C. Gupta and V.K. Kapoor
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