On average, a textbook author makes 0.8 word-processing error per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 2 or more errors? (b) What is the probability that a randomly selected page is error free? Click here to view the table of Poisson probability sums. (a) The probability that a page has at least 2 errors is (Round to four decimal places as needed.)

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On average, a textbook author makes 0.8 word-processing error per page on the first draft of her textbook.
(a) What is the probability that on the next page she will make 2 or more errors?
(b) What is the probability that a randomly selected page is error free?
Click here to view the table of Poisson probability sums.
(a) The probability that a page has at least 2 errors is
(Round to four decimal places as needed.)
Transcribed Image Text:On average, a textbook author makes 0.8 word-processing error per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 2 or more errors? (b) What is the probability that a randomly selected page is error free? Click here to view the table of Poisson probability sums. (a) The probability that a page has at least 2 errors is (Round to four decimal places as needed.)
Expert Solution
Step 1

Let the random variable X denotes errors in the text book.

Based on the provided information, it is clear that the random variable X follows Poisson distribution with parameter λ=0.8.

a)

Obtain the probability that on the next page she will make 2 or more errors.

PX2=1-PX<2=1-PX=0+PX=1=1-e-0.80.800!+e-0.80.811!=1-0.4493+0.3595=1-0.8088=0.1912

Therefore, the probability that on the next page she will make 2 or more errors is 0.1912.

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