Question: please solve Cicero Publishing House has determined that the probability of a typographical error on any given page is .002. The statistics text book they
please solve

Cicero Publishing House has determined that the probability of a typographical error on any given page is .002. The statistics text book they are about to print contains 2000 pages (yes, that is one hella big stats text!). This situation is modeled well by the Poisson probability distribution since we can count the number of typos but not the number of non-typos since there are an infinite number of typos that could be made. Another clue is that the probability is very small and the sample size is quite large. 1. Determine the probability that there are at least 4 typos in this text (show your formula set up and work). 2. What are the chances that there are fewer than 3 typos (show your formula setup and work). 3. What is the probability that there are 5 or fewer typos in the text? (show formula setup and work)
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