This exercise looks at how well the Poisson distribution approximates the binomial distribution. Assume that n=363n=363 and p=0.003p=0.003 for a binomial distribution. Find the exact (actual) probability (using the binomial probability formula) of one success in 363 trials. (Report answer accurate to 6 decimal places.) P(x = 1) = Find the approximate probability of one success in (an interval spanning) 363 trials. (Report answer accurate to 6 decimal places.) P(x = 1) = Find the relative difference between the two values. (Use all of the decimal places shown in your calculator from the previous two answers) Recall, the formula approximation–actual actual×100% approximation–actual actual×100%(Report answer as a percent accurate to 4 decimal places; you need not type the “%” symbol.) rel diff = %
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.
This exercise looks at how well the Poisson distribution approximates the binomial distribution. Assume that n=363n=363 and p=0.003p=0.003 for a binomial distribution.
Find the exact (actual)
(Report answer accurate to 6 decimal places.)
P(x = 1) =
Find the approximate probability of one success in (an interval spanning) 363 trials.
(Report answer accurate to 6 decimal places.)
P(x = 1) =
Find the relative difference between the two values.
(Use all of the decimal places shown in your calculator from the previous two answers)
Recall, the formula approximation–actual actual×100% approximation–actual actual×100%(Report answer as a percent accurate to 4 decimal places; you need not type the “%” symbol.)
rel diff = %
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