Mathematical Expectation and Binomial, Poisson and Hyper-geometric Distributions Q#1: The information below is the number of daily emergency service calls made by the volunteer ambulance service of Walterboro, South Carolina, for the last 50 days. To explain, there were 22 days on which there were two emergency calls, and 9 days on which there were three emergency calls. Number of Calls Frequency 0 8 1 10 2 22 3 9 4 1 Total 50 a. Convert this information on the number of calls to a probability distribution. b. Is this an example of a discrete or continuous probability distribution? c. What is the mean number of emergency calls per day? d. What is the standard deviation of the number of calls made daily?
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.
Mathematical Expectation and Binomial, Poisson and Hyper-geometric Distributions
Q#1: The information below is the number of daily emergency service calls made
by the volunteer ambulance service of Walterboro, South Carolina, for the last 50
days. To explain, there were 22 days on which there were two emergency calls,
and 9 days on which there were three emergency calls.
Number of Calls
Frequency
0
8
1
10
2
22
3
9
4
1
Total
50
a. Convert this information on the number of calls to a probability distribution.
b. Is this an example of a discrete or continuous probability distribution?
c. What is the mean number of emergency calls per day?
d. What is the standard deviation of the number of calls made daily?
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