Random Variables
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Let X1,X2... be a sequence of independent and identically distributed continuous random variables. Define the random variable ...
(a) Compute the p.m.f of N by first computing P(N [less than or equal to] n)
(b) Show that E(N)=e
*(Please see attachement for complete problem)
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See attachment please!
First, we need to find the probability that . Since are independent and identically distributed continuous random variables, by symmetry, we know that
and . So,
Secondly, we know ...
Solution Summary
Let X1,X2... be a sequence of independent and identically distributed continuous random variables. Define the random variable ...
(a) Compute the p.m.f of N by first computing P(N [less than or equal to] n)
(b) Show that E(N)=e
$2.49