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 2 years ago
The random variable X has the distribution Geo(0.2).
Two independent values of X are found.
Find the probability that the total of these two values is 3.
 2 years ago
The random variable X has the distribution Geo(0.2). Two independent values of X are found. Find the probability that the total of these two values is 3.

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adnanchowdhury
 2 years ago
Best ResponseYou've already chosen the best response.0no, then answer is: 0.064 (= 8/125)

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.0so the pmf is \[P(X=k)=(1.2)^{k1}.2\] if \(X_1\) and \(X_2\) are independent realizations of \(X\) then the joint pmf is given by \[P(X_1=m,X_2=n)=(1.2)^{m1}.2(1.2)^{n1}.2\] then the probability you are looking for is given by \[\sum_{v=1}^{2}P(X_1=v,X_2=3v)\]
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