Question 2. Suppose the mean age of video game players is 28, the standard deviation is 9 years, and the distribution is bell shaped. To assist a video game company’s marketing department in obtaining demographics to increase sales, determine the proportion of players who are a. between 19 and 28
b. between 28 and 37
c. older than 37

0.34134 ; 0.84134; 0.15866

Explanation:

Given that:

Mean (m) = 28

Standard deviation (s) = 9

Proportion of players;

a. between 19 and 28

P(x < 28) - P(x < 19)

Z = (x - mean) / standard deviation

[Z = (28 - 28) / 9] - [Z = (19 - 28) /9]

P(Z < 0) - P(Z < - 1)

0.5 - 0.15866 [Z probability calculator]

= 0.34134

b. between 28 and 37

P(x < 37) - P(x < 28)

Z = (x - mean) / standard deviation

[Z = (37 - 28) / 9] - [Z = (28 - 28) /9]

P(Z < 1) - P(Z < 0)

0.84134 - 0 [Z probability calculator]

= 0.84134

c. older than 37

P(x > 37)

Z = (x - m) / s

Z = (37 - 28) / 9

Z = 9/9 = 1

P(Z > 1) = 1 - P(Z < 1)

P(Z > 1) = 1 - 0.84134

P(Z > 1) = 1 - 0.84134

P(Z > 1) = 0.15866

income statement is prepared in order to show the profits and loss of a business. in order to prepare the income statement she should collect all the income and expenses of the product with the cost of production.

the answer is a.

by: nicholas dooley