What are the expected value and variance of the following probability distribution? RANDOM VARIABLE X PROBABILITY
1 0.05
2 0.05
3 0.10
4 0.10
5 0.15
6 0.15
7 0.25
8 0.15

Expected value: 5.45

Variance: 4.0475

Step-by-step explanation:

The variance is the second moment minus the first moment squared

the first moment is just the mean

if I interpretted your table correctly the expected value (or first moment should be)

1*.05+2*.05+3*.1+4*.1+5*.15+6*.15+7*.25+8*.15= 5.45

Calculating the second moment is kind of the same thing (just square the nonprobability numbers)

1²*.05+2²*.05+3²*.1+4²*.1+5²*.15+6²*.15+7²*.25+8²*.15= 33.75

33.75-5.45²=4.0475

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: