Asked Mar 12, 2019

7. Given this set of numbers: 2, 3, 6, 7, 8, and 10 find:

A. E ( X-X)  the second X has a bar line above it

B. E x^2 - Ex  the symbol after x  means a square 2

C. E  2x - x  the second x has a bar line above it as well

D. 3 Ex^2 + 2 Ex - 10

E. x = Ex/n  the first x has a bar line above it s well


Expert Answer

Step 1

Hello there! there are more than three subparts in the question. According to our policies can answer three sub parts. Do find the solution for a,b,c. If you have any doubts in remaining parts kindly make a new request.

Step 2

Given set of numbers 2, 3, 6, 7, 8, 10

E(x) is nothing but the mean of the given data points and it is calculated as shown below.

we get E(X) = 6

E(X-Xbar) is computed as shown below using the property of expectations E(X+c) = E(X)+c where c is a constant, Here Xbar represents the mean of the data which is a constant 6. So we get E(X-Xbar) = 0

Step 3

we need to compute E(X2)-E(X)

Here we know all X are 2 3 6 7 8 10

now we calculate X2 are 4 9 36 49 64 100

E(X2) is calculate as shown below ...


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