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keirarae2005
25.03.2020 •
Mathematics
An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that will be renewed at the end of their terms and Y the percentage of collision policies that will be renewed at the end of their terms. X and Y have the joint cumulative distribution function F(x,y) = \dfrac{xy(x+y)}{2{,}000{,}000}, 0\le x\le 100, 0\le y \le 100. Calculate Var(X).
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Ответ:
-764.28
Step-by-step explanation:
Given the joint cumulative distribution of X and Y as
#First find
and probability distribution function ,
:
#Have determined the probability distribution unction ,
, we calculate the Expectation of the random variable X:
#We then calculate
:
Hence, the Var(X) is 764.28
Ответ: