Question

Suppose that a book of 585 pages contains 43 typographical errors. If these errors are randomly distributed throughout the book, what is the probability that 10 pages, selected.At random, will be free of errors? [hint: suppose that x = number of errors per page has a poisson distribution.]

Answer 1

Answer:

0.479505

Step-by-step explanation:

Given  

Suppose that a book of 585 pages contains 43 typographical errors. If these errors are randomly distributed throughout the book, what is the

Let X denote the typographical error in a book.

Given   p = 43/585 , n = 10

We know that mean = λ = np

                           = 43 / 585 x 10

                      m = 0.735

now probability of 10 pages selected at random will be free from error.

 = P (X = 0)

= e^ - λ . λ^0 / 0!

 P(0) = e^-0.735 (0.735)^0 / 0!

  P(0) = e^-0.735 x 1/1

            = e^- 0.735

           = 1 / e^0.735

          = 1 / 2.0854

            = 0.479505

Answer 2

Step-by-step explanation:

Suppose that Y have the following M.G.F My(t) = 4-3et Find E(Y), E(Y2).