The number of typos per page in textbooks published by company ABC varies with m

Question

The number of typos per page in textbooks published by company ABC varies with mean 1.4 and standard deviation 2.2 (note that the number of typos is a discrete RV). Let be the number of typos per page in an 80-page textbook published by company ABC. What is the approximate distribution of according to the CLT? What is the approximate probability that is less than 1? What is the approximate probability that there are fewer than 100 typos in the 80-page textbook? (Hint: Restate this event in terms of .)

Explanation / Answer

a. The approximate distribution of X is normal distribution.

b. P[X<1] = P[Z< -0.18] = 0.5714

c. P[X < 1.25] = P[Z < -0.068] = 0.527 approx.

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