Question

Acellus Find the expected value of a random variable x having the following probability distribution. 0 1 2 3 4 5 Probability 1/8 1/4 3/16 1/4 1/16 1/8 ​

Answer 1

The answer is 9/4 in fraction form

Explanation:

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Answer 2

"2.25" is the right answer.

Explanation:

According to the question,

The expected value will be:

=
`\sum_(i=1)^(n) x_i P(X = x_i)`

=
`0* (1)/(8)+1* (1)/(4)+2* (3)/(16)+3* (1)/(4)+4* (1)/(6)+5* (1)/(8)`

=
`0+(1)/(4)+(3)/(8) +(3)/(4)+(1)/(4) +(5)/(8)`

=
`(1)/(4) +(8)/(8) +(4)/(4)`

=
`(1)/(4) +1+1`

=
`0.25+2`

=
`2.25`

Thus the above is the right approach.