Question 4: A popular website page experiences a loading error which occurs an average of 5 times per day. Let X represent the number of loading errors per day and assume X has a Poisson distribution. Suppose a random sample of thirty days is selected from the last 6 months. a) What is the probability of observing less than 3 loading errors on one of the days? b) What is the probability that the sample mean is observed to be more than 4 loading errors?

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A:

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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.