In a large department store a customer-complaints office handles an average of six complaints per hour about the quality of service. The distribution is Poisson.a. What is the probability that in any hour exactly six complaints will be received?b. What is the probability that more than 20 minutes will elapse between successive complaints?c. What is the probability that fewer than 5 minutes will elapse between successive complaints?d. The store manager observes the complaints office for a 30-minute period, during which no complaints are received. He concludes that a talk he gave to his staff on the theme “the customer is always right” has obviously had a beneficial effect. Suppose that, in fact, the talk had no effect. What is the probability of the manager observing the office for a period of 30 minutes or longer with no complaints?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In a large department store a customer-complaints office handles an average of six complaints per hour about the quality of service. The distribution is Poisson.
a. What is the
b. What is the probability that more than 20 minutes will elapse between successive complaints?
c. What is the probability that fewer than 5 minutes will elapse between successive complaints?
d. The store manager observes the complaints office for a 30-minute period, during which no complaints are received. He concludes that a talk he gave to his staff on the theme “the customer is always right” has obviously had a beneficial effect. Suppose that, in fact, the talk had no effect. What is the probability of the manager observing the office for a period of 30 minutes or longer with no complaints?
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