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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 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

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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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