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A Random Variable X Has the Following Probability Distribution - Mathematics and Statistics

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MCQ

A random variable X has the following probability distribution:

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

Options

  • 0.8

  • 0.9

  • 0.7

  • 1.1

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Solution

(a) 0.8 

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

Concept: Random Variables and Its Probability Distributions
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