Question 2 Customers arrive at a bank according to a Poisson process at a rate of 100 per hour. 20% of them make only a deposit, 30% of them make only a withdrawal and the remaining 50% are there only to complain. Deposit amounts are distributed with a mean of 8,000 and a standard deviation of 1,000. Withdrawal amounts have a mean of 5,000 and a standard deviation of 2,000. The number of customers and their activities are independent. Using the Normal approximation, calculate the probability that in an 8 hour day the total withdrawal of the bank will exceed the total deposits.

Question 2 Customers arrive at a bank according to a Poisson process at a rate of 100 per hour. 20% of them make only a deposit, 30% of them make only a withdrawal and the remaining 50% are there only to complain. Deposit amounts are distributed with a mean of 8,000 and a standard deviation of 1,000. Withdrawal amounts have a mean of 5,000 and a standard deviation of 2,000. The number of customers and their activities are independent. Using the Normal approximation, calculate the probability that in an 8 hour day the total withdrawal of the bank will exceed the total deposits.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

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.

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