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

The letter t occurs less than 26 times on approximately 170 of these pages. The letter t occurs less than 26 times on approximately 15 of these pages. The letter t occurs more than 26 times on approximately 420 of these pages. The letter t occurs more than 26 times on approximately 80 of these pages. Done

Question

Mathematics

Mckinley Vasquez

11 July, 19:21

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

The letter t occurs less than 26 times on approximately 170 of these pages. The letter t occurs less than 26 times on approximately 15 of these pages. The letter t occurs more than 26 times on approximately 420 of these pages. The letter t occurs more than 26 times on approximately 80 of these pages. Done

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Answers (2)

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Kieran Hogan · Answer 1

Use the variable transformation Z = X-μ σ to convert to the standard normal distribution, where μ is the mean and σ is the standard deviation. P (X<26) = P (X-44 18 < 26-44 18) = P (Z<-1)

Ayana Miranda · Answer 2

So to be honest the answer would be you adding the big numbers and divide the small then add both answers