Question

According to the South Carolina Department of Mental Health website, for every 200 U.S. women, the average number who suffer from anorexia is one. Out of a randomly chosen group of 600 U.S. women determine the following.

a. The expected number of women suffering from anorexia is 3

b. The expected number of women suffering from anorexia is 2

c. The expected number of women suffering from anorexia is 4

d. The expected number of women suffering from anorexia is 1

Answer 1

The expected number of women suffering from anorexia nervosa in a group of 600 U.S. women is 3, calculated using a proportion based on the average given by the South Carolina Department of Mental Health.

Step-by-step explanation:

The question asks us to determine the expected number of women suffering from anorexia nervosa out of a randomly chosen group of 600 U.S. women. Given that for every 200 U.S. women, the average number who suffer from anorexia is one, we can calculate the expected number in a group of 600 by setting up a proportion:

1 (woman with anorexia) / 200 (total women) = x (expected number with anorexia) / 600 (total women)

To solve for x, we cross-multiply and divide:

200x = 1 × 600

x = 600 / 200

x = 3

Therefore, the expected number of women suffering from anorexia in a group of 600 U.S. women is 3.