Question

7. The first moment of the distribution about the value 5 is 2. Arithmetic mean of the
distribution is
(2)
(A) 5
(B) 2
(C) 4
(D) 7 ​

Answer 1

Answer:

7;;;;;;;;;;;;;;;;;;;;;;

Answer 2

Given,

$\bar{x}$ = 5

μ1 = 2

To Find,

Arithmetic mean of the distribution =?

Solution,

From the formula,$E(X - \bar{X})=$ μ1

$E(X-5)=$ 2

$E(X) - 5= 2 \\E(X) = 5 + 2\\E(X) = 7$

Hence, the arithmetic mean of the distribution is 7. Option(d) is the correct answer.