Question

Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.) x P(x) 7 0.10 11 0.35 15 0.20 19 0.35

Answer 1

Answer:

14.2, 16.96

Step-by-step explanation:

given is a probability distribution of X

X is discrete taking values as 7, 11, 15 and 19

X          7            11        15        19          total

p           0.10     0.35    0.20   0.35          1

x*p         0.7     3.85     3.0     6.65       14.20

x^2*p     4.9     42.35   45      126.35 218 .60

Hence mean = sum of prob (x) = 14.20

$E(x^2) =218.60$

$Var(x) = E(x^2)-{E(x)}^2\\= 218.60-14.20^2\\= 16.96$