Question: Consider a typist with probability of any given page having at least one typographical error being 0.12. A 40-page paper is typed by this typist.

a) Let X be the number of pages in this paper that have at least one error. What is the distribution of X? What are the values of parameters?

b) Find the probability that at most two pages have at least one error.

c) Find the expected number of pages in this paper that have at least one error.

d) Find the standard deviation of pages in this paper that have at least one error.

e) Read the paper from the first page until the first error. Let Y be the page with the first error. What is the distribution of Y?

f) What is the probability that you will find the first error on page 10, reading from the first page?