A certain book has 350 pages and 150 typos. Assume that the typos occur independ

Question

A certain book has 350 pages and 150 typos. Assume that the typos occur independently of each other.

(a) what is average number of typos per page?

(b) suppose we open the book to a random page and let the random variable x be the number of typos ocuring on this page. What is E(X)?

(c) Briefly explain why X should be described by a Poisson random variable and give the appropriate value for lenda.

(d) compute the probability that there is at most one typo on this page, i.e P(x is less than or equal to 1).

Explanation / Answer

A certain book has 350 pages and 150 typos. Assume that the typos occur independently of each other.

(a) what is average number of typos per page?

average number =150/350=0.4286

(b) suppose we open the book to a random page and let the random variable x be the number of typos ocuring on this page. What is E(X)?

E(X) =0.4286

(c) Briefly explain why X should be described by a Poisson random variable and give the appropriate value for lenda.

This is Poisson distribution that expresses probabilities concerning the number of events per unit time. In this case we are considering number of typos per page.

=0.4286

(d) compute the probability that there is at most one typo on this page, i.e P(x is less than or equal to 1).

P( x 1) = 0.9306

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.