Question

The distribution of the number of occurrences of the letter T on the pages a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18 there are 500 pages in the book, which sentence most closely summarizes the data?

Answer 1

C. The letter t occurs more than 26 times on approximately 420 of these pages.

One standard deviation below the mean

1 standard deviation below mean = M - SD

                                                       = 44 - 18 = 26

This implies that that "26" is 1 s.d. below the mean, which is at the 16th percentile.

Thus,  there is a 0.16 chance that "t" will occur less than 26 times on any single page.

consequently, there is a 0.84 chance that it will occur more than 26 times on any single page.

From the above information: 16% of 500 is 80, and 84% of 500 is 420.

Hence,  option C is the correct answer.

The complete question is below:

A. The letter t occurs less than 26 times on approximately 170 of these pages.

B. The letter t occurs less than 26 times on approximately 15 of these pages.

C. The letter t occurs more than 26 times on approximately 420 of these pages.

D. The letter t occurs more than 26 times on approximately 80 of these pages.

Learn more about standard deviation here: brainly.com/question/475676

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