Assume that the number of customers’ Z that pass through an automated teller machine during 2:00 P.M. and 2:30 P.M. on any Sunday has the probability distribution given in Table 1. Table 1. List the probability distribution Number of Customers 4 5 6 7 8 9 Probability 0.20 0.24 0.22 0.15 0.11 0.08 (a) Show that is a probability distribution. (b) What is the standard deviation of the random variable (c) Find the probability if between 5 to 7 customers withdraw their amount
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.
Assume that the number of customers’ Z that pass through an automated teller machine during 2:00 P.M. and 2:30 P.M. on any Sunday has the
Table 1. List the probability distribution
|
Number of Customers |
4 |
5 |
6 |
7 |
8 |
9 |
|
Probability |
0.20 |
0.24 |
0.22 |
0.15 |
0.11 |
0.08 |
(a) Show that is a probability distribution.
(b) What is the standard deviation of the random variable
(c) Find the probability if between 5 to 7 customers withdraw their amount
(d) Let a
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