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
0.75 (APEX)
Step-by-step explanation:
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
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?
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
[tex]z=\frac{x-mean}{standard deviation}[/tex]
mean = 44
standard deviation = 8 and x= 50
[tex]z=\frac{50-44}{8}[/tex]
[tex]z=\frac{6}{8}[/tex]
[tex]z=\frac{3}{4}=0.75[/tex]
the z-score for a value of 50 is 0.75
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 !
C.
The letter t occurs more than 26 times on approximately 420 of these pages.
Explanation:
Here is the answer to the question.
[tex]If a normal distribution has a mean of 44 and a standard deviation of 8,what is the z-score for a va[/tex]
this isnt an english question. its math
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.
The letter t occurs more than 26 times on approximately 420 of these pages.