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26.08.2020 •
Mathematics
Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a decimal.) Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a decimal.)
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Ответ:
The expected value for the random variable is 14.16.
Step-by-step explanation:
We are given the following data below;
Z P(Z)![Z \times P(Z)](/tpl/images/0729/7009/fcdda.png)
9 0.16 1.44
12 0.25 3
15 0.36 5.4
18 0.17 3.06
21 0.06 1.26
Total 1 14.16
Now, the expected value for the random variable Z is given by;
E(Z) =![\sum Z \times P(Z)](/tpl/images/0729/7009/745e3.png)
=![(9 \times 0.16) + (12 \times 0.25) +......+(21 \times 0.06)](/tpl/images/0729/7009/f6315.png)
= 14.16.
Ответ: