I got this resolved by doingandrewkirk said:First use the Poisson to work out the probability of a page having no errors. Then use that number in the Binomial distribution to solve the problem.
A binomial distribution is a probability distribution that describes the likelihood of obtaining a certain number of successes in a series of independent trials, where there are only two possible outcomes (success or failure) and the probability of success remains constant for each trial.
A binomial distribution is used when there are a fixed number of trials and a constant probability of success for each trial, while a Poisson distribution is used when there is a fixed time or space interval and the number of successes within that interval is being measured. Additionally, a binomial distribution deals with discrete data (whole numbers) while a Poisson distribution deals with continuous data.
The formula for calculating the probability of a binomial distribution is: P(x) = nCx * p^x * (1-p)^(n-x), where n is the total number of trials, x is the number of successes, and p is the probability of success for each trial.
Yes, a binomial distribution can be used to model real-life situations where there are only two possible outcomes and a fixed number of trials. For example, it can be used to model the probability of flipping a coin a certain number of times and getting a certain number of heads.
The mean and variance of a Poisson distribution are both equal to λ, the average number of occurrences in a given interval. This means that the shape of a Poisson distribution is determined solely by its mean.