Answer to Question #309630 in Statistics and Probability for Jonaisa

Question

Find the mean of the probability distribution of the random variable Z if P(Z) = 񨀫 1 20 , for X = 1, 2, 3, 4 and 5.

Answer 1

Given that P(Z) = $\frac{Z+1}{20}$

For Z=1,2,3,4,5.

Then:

$E(Z)=\sum(Z.P(Z))$

= 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4) + 5*P(5)

= (1)(2/20) + (2)(3/20) + (3)(4/20) + (4)(5/20) + (5)(6/20)

=2/20 + 6/20 + 12/20 + 20/20 + 30/20 =70/2

= 3.5.

Answer: Mean of Z =3.5