# 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

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 summarized the data

## This Post Has 10 Comments

1. StephiUnicorni says:

0.75 (APEX)

Step-by-step explanation:

2. dilu76 says:

The answer to this question is gotta be 0

Step-by-step explanation:

Because a normal distribution gives an area between 0 and z and the area for P(X=46) = 0

3. StephanieQueen2003 says:

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.

mean = 44
sd = 18
that means that "26" is 1 s.d. down, or at the 16th %ile

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

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

4. osmarirodriguez2079 says:

A normal distribution has a mean of 44 and a standard deviation of 8,

We need to find z-score when x=50

To find z-score we use formula

$z=\frac{x-mean}{standard deviation}$

mean = 44

standard deviation = 8 and x= 50

$z=\frac{50-44}{8}$

$z=\frac{6}{8}$

$z=\frac{3}{4}=0.75$

the z-score for a value of 50 is 0.75

5. lauren21bunch says:

0.75

Step-by-step explanation:

Z-score tells the no. of standard deviations a data point is from the mean.

the formula for z score is given by

z-score= (data value - mean) / standard deviation

Given:

mean=44

standard deviation= 8

data point=50

putting the values of mean(44), standard deviation(8) and given data value(50) in the above equation

z-score= (50-44)/8

= 6/8

=0.75 !

6. aliciabenitez says:

C.

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

Explanation:

7. pennstatealum says:

Here is the answer to the question.

$If a normal distribution has a mean of 44 and a standard deviation of 8,what is the z-score for a va$

8. 44bree says:

this isnt an english question. its math

9. batmanmarie2004 says:

244 - 165 = 79 . . . . one standard deviation
323 - 244 = 79 . . . . one standard deviation

The range of scores is ±1 standard deviation from the mean. The empirical rule says
68% of scores lie in that range.

10. desiree98 says:

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