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# Solution - A Random Variable X Has the Following Probability Distribution - Random Variables and Its Probability Distributions

#### Question

A random variable X has the following probability distribution:

then E(X)=....................

(a) 0.8

(b) 0.9

(c) 0.7

(d) 1.1

#### Solution

(a)

 X = x -2 -1 0 1 2 3 P(x) 0.1 0.1 0.2 0.2 0.3 0.1

E(X)=sumx_iP(x_i)
=( -2) x 0.1 + ( -1) x 0.1+ 0 x 0.2 +1x 0.2+ 2 x 0.3 + 3 x 0.1
=0.2 - 0.1 + 0 + 0.2 + 0.6 + 0.3
=0.8

Is there an error in this question or solution?

#### APPEARS IN

2014-2015 (March)
Question 4.1.1 | 2 marks
Solution for question: A Random Variable X Has the Following Probability Distribution concept: Random Variables and Its Probability Distributions. For the courses HSC Arts, HSC Commerce, HSC Commerce (Marketing and Salesmanship), HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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