THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let the random variable X follow a normal distribution with a mean of 17.1 and a standard deviation of 3.2.
-What is P(X 16)?
A)0.3401
B)0.6331
C)0.3669
D)0.8326

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let the random variable X follow a normal distribution with a mean of 17.1 and a standard deviation of 3.2.
-What is P(X > 16)?
A)0.3401
B)0.6331
C)0.3669
D)0.8326

Quizplus · Accepted Answer

To find P(X > 16), we first calculate the Z-score for X = 16 using the formula Z = (X - mean) / standard deviation = (16 - 17.1) / 3.2 = -0.34375. Looking up this Z-score in a standard normal distribution table or using a calculator, we find the area to the left of this Z-score is approximately 0.3669. Since we want P(X > 16), we subtract this from 1 to get 1 - 0.3669 = 0.6331.