Cholesterol levels for women ages 20-34 are approximately normally distributed with a mean of 185 mg/dL and a standard deviation of 39. Cholesterol levels between 200 mg/dL and 240 mg/dL are considered borderline high. What is the probability that a woman between the ages of 20 and 34 has a borderline high cholesterol level (her cholesterol is between 200 mg/dL and 240 mg/dL)? a. 0.78435 b. 0.7273 c. 0.6480 d. 1.5687 e. 0.2727 f. 0.5454 g. 0.9207
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Cholesterol levels for women ages 20-34 are approximately
Cholesterol levels between 200 mg/dL and 240 mg/dL are considered borderline high. What is the probability that a woman between the ages of 20 and 34 has a borderline high cholesterol level (her cholesterol is between 200 mg/dL and 240 mg/dL)?
| a. |
0.78435 |
|
| b. |
0.7273 |
|
| c. |
0.6480 |
|
| d. |
1.5687 |
|
| e. |
0.2727 |
|
| f. |
0.5454 |
|
| g. |
0.9207 |
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