The cholesterol levels in healthy individuals are approximately normally distributed. For males under 21 in a population, the average cholesterol level is 160 mg/di with
The cholesterol levels in healthy individuals are approximately normally distributed. For males under 21 in a population, the average cholesterol level is 160 mg/di with a standard deviation of 15 mg/dl.
1. Identify u and a for this question.
160
mg/di; o =
15
mg/dl
2. If a male under 21 is selected at random, find the probability that his cholesterol level is above 147 mg/dl.
a) Find the Z-score (show your work using the numerical values in the formula and round the z-score to two decimal places) for 147:
117 - 160
-0.87
Z =
15
b) Sketch the corresponding region to the statement with the Z-score. Select from the dropdown menu to shade to the left, to the right, between or left and right of the Z-score(s); and then shade the corresponding region. The arrow can only drag to the Z-score that is rounded to one decimal place (these values correspond to the tick marks on the horizontal axis).
Shade: Right of a val
. Click and drag the arrows to adjust the values.
-0.9
c) Find the left-cumulative area (keep 4 decimal places) corresponding to the Z-score:
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