1. Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process. Let X denote the length in minutes from the time we start observing this website until the 1st hit is observed Which common continuous distribution does X have (including parameters)? X(t)-Exponential ( t) b. E(X)= 1/2-3/2 c. V(X)=1/(2^2)=9/4

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1. Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process. Let X
denote the length in minutes from the time we start observing this website until the 1st hit is observed
a. Which common continuous distribution does X have (including parameters)?
X(t)-Exponential (½ t)
b. E(X)= 1/2-3/2
c.
d.
e.
V(X)=1/(2^2)=9/4
What is the probability that more than 5 minutes will elapse before the 1st hit is observed?
Suppose 5 additional minutes has elapsed without a single hit being observed. What is the
probability that more than 5 additional minutes will elapse before the 1st hit is observed?
Transcribed Image Text:1. Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process. Let X denote the length in minutes from the time we start observing this website until the 1st hit is observed a. Which common continuous distribution does X have (including parameters)? X(t)-Exponential (½ t) b. E(X)= 1/2-3/2 c. d. e. V(X)=1/(2^2)=9/4 What is the probability that more than 5 minutes will elapse before the 1st hit is observed? Suppose 5 additional minutes has elapsed without a single hit being observed. What is the probability that more than 5 additional minutes will elapse before the 1st hit is observed?
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