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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.

Respuesta :

Answer:

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

P(x=0) = [tex]e^{-0.08}[/tex] = 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 = [tex]\frac{e^{-\alpha }\alpha^r }{r!}[/tex]

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 = [tex]p(x=0) = \frac{e^{-0.08 }\(-0.08)^0 }{0!}[/tex]

After calculation P(x=0) = [tex]e^{-0.08}[/tex] = 0.923

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

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