Question

The table describes a probability distribution for a certain

event. Find the mean, u, for the probability distribution.
X
P(x)
10
0.534
20
0.193
30
0.140
40
0.085
50
0.048

Answer 1

Answer: Choice D) 19.2

This value is exact.

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Step-by-step explanation:

Use your favorite spreadsheet app to form a third column of values. This new column will be the result of multiplying the original two columns.

For instance, we have x*P(x) = 10*0.534 = 5.34 as the first entry of the new column. The other rows are treated in a similar manner. Refer to the screenshot below..

After getting that third column set up, add up those results. The sum is the expected value (aka the mean mu, which is the symbol
`\mu`)

5.34 + 3.86 + 4.2 + 3.4 + 2.4 = 19.2