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 = %

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 = %

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