STATISTICS mph 5500-The following table shows the numbers
Subject: Mathematics   / Statistics
Question
The following table shows the numbers of patients classified as underweight, normal weight, overweight, and obese, according to their diabetes status.
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Underweight
Normal Weight
Overweight
Obese
Diabetes
8
34
65
43
No Diabetes
12
85
93
40
If a patient is selected at random:
What is the probability that they are overweight?
What is the probability that they are obese and diabetic?
What proportion of the diabetics is obese?
What proportion of normal-weight patients are not diabetic?
What proportion of patients is normal weight or underweight?
Approximately 30 percent of obese patients develop diabetes. If a physician sees 10 patients who are obese:
What is the probability that half of them will develop diabetes?
What is the probability that none will develop diabetes?
How many would you expect to develop diabetes?
The following table shows the distribution of BMI in children living in U.S. and European urban neighborhoods. (The data are in millions.)
Neighborhood
Normal Weight
Overweight
Obese
US
125
50
40
Europe
101
42
21
Suppose that the probability that a child living in an urban area in the US is obese is 20 percent. A social worker sees 15 children living in urban areas,
What is the probability that none are obese?
What is the probability that 5 are obese?
BMI in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2.
A BMI between 25 and 30 is considered overweight. What proportion of children is overweight?
A BMI of 30 or more is considered obese. What proportion of children is obese?
In a random sample of 10 children, what is the probability that their mean BMI exceeds 25?
