Question

The results of an experiment are shown below. Calculate E, the expected value of the experiment. Write your answer as a decimal.This is chart that goes with problemOutcome Probability 2 1/104 3/106 2/108 1/1010 3/10

Answer 1

As per given by the question,

There are given that the value of outcome and the value of probability.

Now,

According to the given value,

calculate the expected value of experiment

Then,

FRom the concept for calculate the expected value;

`E=x_1* f(x)+x_2* f(x)+x_3* f(x)+x_4* f(x)+x_5* f(x)`

Where, x term are value of outcome and f(x) terms are value of probability.

Then,

Put all the value in above concept,

So,

`\begin{gathered} E=x_1* f(x)+x_2* f(x)+x_3* f(x)+x_4* f(x)+x_5* f(x) \\ E=2_{}*(1)/(10)+4*(3)/(10)+6_{}*(2)/(10)+8*(1)/(10)+10*(3)/(10) \end{gathered}`

Then,

`\begin{gathered} E=2_{}*(1)/(10)+4*(3)/(10)+6_{}*(2)/(10)+8*(1)/(10)+10*(3)/(10) \\ E=(1)/(5)+(6)/(5)+(6)/(5)+(4)/(5)+3 \\ E=(32)/(5) \\ E=6.4 \end{gathered}`

Hence, the value of E is 6.4.