Suppose that a Covid-19 testing centre receives two phones calls, on average, per minute concerning test results. Required: a) What are the conditions for this experiment to be considered a Poisson experiment? Motivate. (4) b) What is the expected number of phone calls regarding test results per hour? (2) c) What is the probability that more zero but less than four phone calls regarding test results are received in any given period of two minutes? (9) d) What is the probability that more than one phone calls regarding test results are received in any given period of three minutes? (7) e) What is the probability that no phone calls regarding test results are received in any given period of one minute? (3)
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.
Suppose that a Covid-19 testing centre receives two phones calls, on average, per minute
concerning test results.
Required:
a) What are the conditions for this experiment to be considered a Poisson experiment?
Motivate. (4)
b) What is the expected number of phone calls regarding test results per hour? (2)
c) What is the probability that more zero but less than four phone calls regarding test results
are received in any given period of two minutes? (9)
d) What is the probability that more than one phone calls regarding test results are received
in any given period of three minutes? (7)
e) What is the probability that no phone calls regarding test results are received in any given
period of one minute? (3)
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