A textbook has 800 pages total with 10 errors randomly distributed among the pages. The question asks to calculate the probability of randomly selecting 50 pages that contain at least 2 errors, using the hypergeometric distribution. It also asks to approximate this probability using the binomial distribution instead.
textbook has 800 pages and on each page one typographical .pdf
1. textbook has 800 pages, and on each page, one typographical error could occur. Suppose that
there are exactly 10 errors randomly located on those pages.
(a) Answer the following sub-questions (i)-(i) to answer the Question:
Find the probability that 50 randomly selected pages will contain at least two errors. Use the
hyper-geometric distribution, which is the theoretically accurate distribution to use.
Q. A textbook has 800 pages, and on each page, one typographical error could occur. Suppose
that there are exactly 10 errors randomly located on those pages. (a) Answer the following sub-
questions (i)-(ii) to answer the Question: Find the probability that 50 randomly selected pages will
contain at least two errors. Use the hypergeometric distribution, which is the theoretically accurate
distribution to use. (i) Find the probability that 50 randomly selected pages will contain no errors.
(ii) Find the probability that 50 randomly selected pages will contain at least two errors. (b) Answer
the following sub-questions (i)-(iii) to answer the Question: Use a binomial distribution to compute
the probability in (a). Make necessary assumptions or approximation. (i) What value of n do you
need to use for the parameter of the binomial distribution? (ii) What value of p do you need to use
for the parameter of the binomial distribution? (iii) Compute the probability in (a)(ii) by using the
binomial distribution: Find the probability that 50 randomly selected pages will contain at least two
errors.