Question

Arrange the probabilities for the following normal distribution problem from lowest to highest:
A. \(\mu=604,\ \sigma=50,\ P(X<635)\);
B. \(\mu=48,\ \sigma=10,\ P(X<20)\);
C. \(\mu=37,\ \sigma=5,\ P(X>35)\);
D. \(\mu=156,\ \sigma=10,\ P(X>170)\).

• A. \(A,D,B,C\)
• B. \(A,C,D,B\)
• C. \(B,D,C,A\)
• D. \(B,D,A,C\)

Hint:

For normal distribution, first convert to \(Z=\frac{X-\mu}{\sigma}\), then compare probabilities using the standard normal curve.

Answer 1

The Correct Option is C