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borishaifa [10]
3 years ago
5

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?
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0

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

Leno4ka [110]3 years ago
4 0
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?

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.

.Answer: 
<span>mean = 44 </span>
<span>sd = 18 </span>
<span>that means that "26" is 1 s.d. down, or at the 16th %ile </span>


<span>so, there is a .16 chance that "t" will occur less than 26 times on any single page. </span>
<span>consequently, there is a .84 chance that it will occur more than 26 times on any single page. </span>

<span>Using that information, and knowing that 16% of 500 is 80, and 84% of 500 is 420, can you see where "C" is correct? </span>
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