The following is the distribution of the daily number of power failures reported in an urbanized city in the Visayas: Number of power failures Number of days 8 3 4 S 6 7 22 8 S 3 2 1 2 O 1 78 54 17 9 Juc The electrical engineer employed by the Dept of Energy in the city made the claim that the daily occurrences of power failures follows a Poisson distribution. a) Determine the parameter λ and state the appropriate Poisson distribution function. b) Determine the empirical (i.e. observed) probability of getting at most 2 power failures in a day, and compare this probability with the Poisson distributed probability by showing the percentage difference of the empirical probability from the theoretical Poisson probability. c) Determine the empirical probability of having 3 to 5 power failures in a day and compare this probability with the Poisson distribution function probability. Again, showing the percentage difference between the empirical and Poisson.

The following is the distribution of the daily number of power failures reported in an urbanized city in the Visayas: Number of power failures Number of days 8 3 4 S 6 7 22 8 S 3 2 1 2 O 1 78 54 17 9 Juc The electrical engineer employed by the Dept of Energy in the city made the claim that the daily occurrences of power failures follows a Poisson distribution. a) Determine the parameter λ and state the appropriate Poisson distribution function. b) Determine the empirical (i.e. observed) probability of getting at most 2 power failures in a day, and compare this probability with the Poisson distributed probability by showing the percentage difference of the empirical probability from the theoretical Poisson probability. c) Determine the empirical probability of having 3 to 5 power failures in a day and compare this probability with the Poisson distribution function probability. Again, showing the percentage difference between the empirical and Poisson.

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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Question

UPVOTE WILL BE GIVEN. WRITE THE COMPLETE SOLUTIONS IN FRACTION LEGIBKY. NO LONG EXPLANATION NEEDED. BOX THE FINAL ANSWER

The following is the distribution of the daily number of power failures reported in an
urbanized city in the Visayas:
Number of power failures
Number of days
O 1
17
78
2
S4
3 4
22 8
6 7
2
5
S 3
9
8
1 O
The electrical engineer employed by the Dept of Energy in the city made the claim that the
daily occurrences of power failures follows a Poisson distribution.
a) Determine the parameter λ and state the appropriate Poisson distribution function.
b) Determine the empirical (i.e. observed) probability of getting at most 2 power failures
in a day, and compare this probability with the Poisson distributed probability by
showing the percentage difference of the empirical probability from the theoretical
Poisson probability.
c) Determine the empirical probability of having 3 to 5 power failures in a day and
compare this probability with the Poisson distribution function probability. Again,
showing the percentage difference between the empirical and Poisson.

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