Question

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

Name: cholesterol levels for women ages 20 34 are approximately normally distributed with a mean of 185 mgdl and a standard deviation of 39 cholesterol levels between 200 mgdl and 240 mgdl are con 27696
Uploaded: 2023-08-25T14:12:02-08:00
Duration: 3 min 50 s
Channel: Madhur L
Description: cholesterol levels for women ages 20 34 are approximately normally distributed with a mean of 185 mgdl and a standard deviation of 39 cholesterol levels between 200 mgdl and 240 mgdl are con 27696

          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

Added by Andre C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

08/25/2023

Step 1

3846$ For 240 mg/dL: $z_2 = \frac{240 - 185}{39} = \frac{55}{39} = 1.4103$ Now, we need to find the probability between these two z-scores. We can use the standard normal table or a calculator to find the area under the curve between these z-scores. Show more…

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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