Question

vDetermine if a Poisson experiment is described, and select the best answer: Suppose we knew that the average number of typos in our statistics text was 0.08 per page. The author knows that he is much more likely to make a typo on a page that has many mathematical symbols or formulas compared to pages that contain only plain text. He would like to know the probability that a randomly selected page that contains only text will contain no typos.

Answer 1

Answer:

probability that a randomly selected page that contains only text will contain no typos that is

P(x=0) = $e^{-0.08}$ = 0.923

Step-by-step explanation:

Poisson distribution:-

Explanation of the Poisson distribution :-

The Poisson distribution can be derived as a limiting case of the binomial

distribution under the conditions that

i) p is very small

ii) n is very large

ii) λ = np (say finite

The probability of 'r' successes = $\frac{e^{-\alpha }\alpha^r }{r!}$

Given the average number of typos ∝ = 0.08 per page.

probability that a randomly selected page that contains only text will contain no typos that is = $p(x=0) = \frac{e^{-0.08 }\(-0.08)^0 }{0!}$

After calculation P(x=0) = $e^{-0.08}$ = 0.923

probability that a randomly selected page that contains only text will contain no typos =0.923