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Find mean for the following probability distribution. X 0 1 2 3 P(X = x) 16 13 13 16 - Mathematics and Statistics

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Question

Find mean for the following probability distribution.

X 0 1 2 3
P(X = x) `1/6` `1/3` `1/3` `1/6`
Sum

Solution

Mean of the given distribution is

E(X) = `sumx_"i"  "P"(x_"i")`

= `0(1/6) + 1(1/3) + 2(1/3) + 3(1/6)`

= `0 + 1/3 + 2/3 + 1/2`

= `3/2`

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Probability Distribution of Discrete Random Variables
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Chapter 2.7: Probability Distributions - Very Short Answers

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SCERT Maharashtra Mathematics and Statistics (Arts and Science) [English] 12 Standard HSC
Chapter 2.7 Probability Distributions
Very Short Answers | Q 4

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