During the morning hours at a catalog sales department, telephone calls come in at the rate (Poisson) of 40 per hour. Calls that cannot be answered immediately are put on hold. The system can handle eight callers on hold. If additional calls come in, they receive a busy signal. The three customerservice representatives who answer the calls spend an average of three minutes with a customer.a. What is the probability that a caller will get a busy signal? (Hint: Solve for log K or ln K usingtrial and error.)b. What is the probability that a customer will be put on hold?
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.
During the morning hours at a catalog sales department, telephone calls come in at the rate (Poisson) of 40 per hour. Calls that cannot be answered immediately are put on hold. The system can handle eight callers on hold. If additional calls come in, they receive a busy signal. The three customer
service representatives who answer the calls spend an average of three minutes with a customer.
a. What is the probability that a caller will get a busy signal? (Hint: Solve for log K or ln K using
trial and error.)
b. What is the probability that a customer will be put on hold?
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