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Q2: Suppose that the computers in a computer laboratory breakdown and require service according to a Poisson distribution at the rate of 4 per day. What is the probability that exactly 3 computers breakdown in 2 days?

Q2: Suppose that the computers in a computer laboratory breakdown and require service according to a Poisson distribution at the rate of 4 per day. What is the probability that exactly 3 computers breakdown in 2 days?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q2: Suppose that the computers in a computer laboratory breakdown and require service according to a Poisson distribution at the rate of 4 per day. What is the probability that exactly 3 computers breakdown in 2 days? Q3: Telephone calls arrive at a switch board every 4 minutes. The average call lasts 3 minutes. Do the following; a) Find the Average System Process Time. b) Find the Average Queue Time. c) Suppose there is a 10% increase in demand. What percent increase in expected queuing time does this produce? Q4: Given the following data, use the least square regression to derive a forecasting equation. What is your estimate of the demand in period 7? Period 123456 Demand 795 11 10 13 Q5: Given the following probability distribution of a fair Dice; 1 P(X = 1) = P(X = 2) = P(X = 3) = P(X = 4) = P(X = 5) = P(X = 6) = Give that; Y-X-2 = |X ¸ a) What is the Expected Value of X? b) What is the expected value of Y? c) What is the Distribution of Y?
Transcribed Image Text:Q2: Suppose that the computers in a computer laboratory breakdown and require service according to a Poisson distribution at the rate of 4 per day. What is the probability that exactly 3 computers breakdown in 2 days? Q3: Telephone calls arrive at a switch board every 4 minutes. The average call lasts 3 minutes. Do the following; a) Find the Average System Process Time. b) Find the Average Queue Time. c) Suppose there is a 10% increase in demand. What percent increase in expected queuing time does this produce? Q4: Given the following data, use the least square regression to derive a forecasting equation. What is your estimate of the demand in period 7? Period 123456 Demand 795 11 10 13 Q5: Given the following probability distribution of a fair Dice; 1 P(X = 1) = P(X = 2) = P(X = 3) = P(X = 4) = P(X = 5) = P(X = 6) = Give that; Y-X-2 = |X ¸ a) What is the Expected Value of X? b) What is the expected value of Y? c) What is the Distribution of Y?
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