SOLUTION: a researcher was interested to study variations in number of deaths from two types of events. He considered number of deaths from HIV a random variable(x) and number of deaths from

Algebra ->  Probability-and-statistics -> SOLUTION: a researcher was interested to study variations in number of deaths from two types of events. He considered number of deaths from HIV a random variable(x) and number of deaths from      Log On


   



Question 997213: a researcher was interested to study variations in number of deaths from two types of events. He considered number of deaths from HIV a random variable(x) and number of deaths from a car accident a random variable (Y). He is interested in the total death due to the Two events. He named This random variable Z(Z=X+Y). What would be the mean for Z?
var (x)=2.3 and var (y)=1.8

Answer by mathmate(429) About Me  (Show Source):
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Given:
Two (assumed) independent variables X, Y, each with variance var(x)=2.3 and 1.8, and mean mu+x and mu+yrespectively

To Find:
Mean of total, Z=X+Y.

Solution:
The mean of the sum of two independent variables X, Y
= mu+x+%2B+mu+y
The variance of the sum of two independent variables X, Y
= var%28X%29%2Bvar%28Y%29=2.3%2B1.8=4.1