1 The total cholesterol number for the American adult is nor
1.) The total cholesterol number for the American adult is normally distributed with a mean of 213 and a standard deviation of 48.4. What is the probability a person randomly selected will have a cholesterol number of:
More than 240?
Less than 200?
Between 235 and 270?
Between 200 and 250?
How many of the 400 adults scored between 200 and 250?
Solution
Mean = 213
Sigma = 48.4
| Mean | 213 | sigma | 48.4 | ||
| x | z | Prob | |||
| 1) | >240 | 0.55785124 | 0.2877 | ||
| 2) | <200 | -0.26859504 | 0.3936 | ||
| 3) | 235 | 0.454545455 | 0.0718 | ||
| 245 | 0.661157025 | ||||
| 4) | 200 | -0.26859504 | 0.3828 | ||
| 250 | 0.76446281 | ||||
| 5) | std error | 2.42 | |||
| 200 | -5.37190083 | 1 | |||
| 250 | 15.2892562 |
