Companies A and B are specialized in installing air conditioners. The number X of service requests that company A receives in a week follows a Poisson distribution with parameter A = 4.5. the Y number of service requests that company B receives in a week obey the following probabilities profile: 0 1 2 3 45 6 7 0,22 P(Y=y) 0,05 0,15 0,22 0,17 0,1 0,05 0,02 a) Which of the two companies receives, on average, the highest volume of orders in a week? Why? b) In which of the two is the variability of the weekly volume of assistance greater? Why? c) Considering the variable Y with a Poisson distribution, calculate the probability that Y is between 1 and 5, and compare with the value obtained by the probability density function of Y. What was observed?

Companies A and B are specialized in installing air conditioners. The number X of service requests that company A receives in a week follows a Poisson distribution with parameter A = 4.5. the Y number of service requests that company B receives in a week obey the following probabilities profile: 0 1 2 3 45 6 7 0,22 P(Y=y) 0,05 0,15 0,22 0,17 0,1 0,05 0,02 a) Which of the two companies receives, on average, the highest volume of orders in a week? Why? b) In which of the two is the variability of the weekly volume of assistance greater? Why? c) Considering the variable Y with a Poisson distribution, calculate the probability that Y is between 1 and 5, and compare with the value obtained by the probability density function of Y. What was observed?

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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