Question

find the indicated probabilities using the geometric distribution, the poisson distribution, or the binomial distribution. then determine if the events are unusual. if convenient, use the appropriate probability table or technology to find the probabilities.

a newspaper finds that the mean number of typographical errors per page is four. find the probability that (a) exactly six typographical errors are found on a page, (b) at most six typographical errors are found on a page, and (c) more than six typographical errors are found on a page.

(a) p(exactly six typographical errors are found on a page) = 0.1042
(round to four decimal places as needed.)

(b) p(at most six typographical errors are found on a page) = 0.8893
(round to four decimal places as needed.)

(c) p(more than six typographical errors are found on a page) =
(round to four decimal places as needed.)

Explanation:

Identify the distribution parameters

$$ \lambda = 4 $$

Calculate the probability of more than six errors using the complement rule

$$
LATEXBLOCK0
$$

Answer:

Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.

A newspaper finds that the mean number of typographical errors per page is four. Find the probability that (a) exactly six typographical errors are found on a page, (b) at most six typographical errors are found on a page, and (c) more than six typographical errors are found on a page.

(a) P(exactly six typographical errors are found on a page) = 0.1042
(Round to four decimal places as needed.)

(b) P(at most six typographical errors are found on a page) = 0.8893
(Round to four decimal places as needed.)

(c) P(more than six typographical errors are found on a page) = <blank>0.1107</blank>
(Round to four decimal places as needed.)