This exercise looks at how well the Poisson distribution approximates the binomial distribution.
Assume that and for a binomial distribution.
Find the exact probability of one success in 375 trials.
(Report answer accurate to 6 decimal places.)
Find the approximate probability of one success in (an interval spanning) 375 trials.
(Report answer accurate to 6 decimal places.)
Find the relative difference between the two values.
Recall, the formula
(Report answer as a percent accurate to 4 decimal places; you need not type the “%” symbol.)
rel diff = %
Find the exact probability of one success in 375 trials.
(Report answer accurate to 6 decimal places.)
Find the approximate probability of one success in (an interval spanning) 375 trials.
(Report answer accurate to 6 decimal places.)
Find the relative difference between the two values.
Recall, the formula
rel diff = %