Question

For variable x can assume values 10
or 50 with probability 3/4 and 1/4 then
expected value of variable is
​

Answer 1

Answer:

Step-by-step explanation:

Is 10

Answer 2

SOLUTION

GIVEN

For variable x can assume values 10 or 50 with probability 3/4 and 1/4

TO DETERMINE

The expected value of variable

EVALUATION

Here it is given that For variable x can assume values 10 or 50 with probability 3/4 and 1/4

So the required expected value of variable

$= \sf{ \sum \: xp(x)}$

$\displaystyle \sf{ = \bigg(10 \times \frac{3}{4} \bigg) + \bigg(50 \times \frac{1}{4} \bigg) }$

$\displaystyle \sf{ = \frac{30}{4} + \frac{50}{4} }$

$\displaystyle \sf{ = \frac{80}{4} }$

$= 20$

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