All the pumps at a water treatment plant have been made to the same specifications by a single manufacturer. From tests made over 4-week period, it has been determined that there are on average two breakdowns during each period. A new plant manager assumes that the problem is not serious if there are no more than four breakdowns over a period of 4 weeks. What is the probability of such an occurrence? It is assumed that the failures occur randomly in time, the occurrences are independent, and the rate of failure is constant. Thus, the Poisson model is applicable. Ans. P(No more than 4 breakdown; 2) = 0.94731

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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All the pumps at a water treatment plant have been made to the same
specifications by a single manufacturer. From tests made over 4-week period, it
has been determined that there are on average two breakdowns during each
period. A new plant manager assumes that the problem is not serious if there
are no more than four breakdowns over a period of 4 weeks. What is the
probability of such an occurrence? It is assumed that the failures occur randomly
in time, the occurrences are independent, and the rate of failure is constant.
Thus, the Poisson model is applicable.
Ans. P(No more than 4 breakdown; 2) = 0.94731
Transcribed Image Text:All the pumps at a water treatment plant have been made to the same specifications by a single manufacturer. From tests made over 4-week period, it has been determined that there are on average two breakdowns during each period. A new plant manager assumes that the problem is not serious if there are no more than four breakdowns over a period of 4 weeks. What is the probability of such an occurrence? It is assumed that the failures occur randomly in time, the occurrences are independent, and the rate of failure is constant. Thus, the Poisson model is applicable. Ans. P(No more than 4 breakdown; 2) = 0.94731
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