Find the mean,variance,and standard deviation of the normal density function Do not use integration.
A) expected value (mean): -3 Variance: 36 Standard deviation: 6
B) expected value (mean): 36 Variance: -3 Standard deviation: 6
C) expected value (mean): 36 Variance: 6 Standard deviation: -3
D) expected value (mean): 6 Variance: -3 Standard deviation: 36
E) expected value (mean): -3 Variance: 6 Standard deviation: 36

Question

Find the mean,variance,and standard deviation of the normal density function   Do not use integration. ​
A) expected value (mean): -3 Variance: 36 Standard deviation: 6 ​ 
B) expected value (mean): 36 Variance: -3 Standard deviation: 6 ​ 
C) expected value (mean): 36 Variance: 6 Standard deviation: -3 ​ 
D) expected value (mean): 6 Variance: -3 Standard deviation: 36 ​ 
E) expected value (mean): -3 Variance: 6 Standard deviation: 36 ​

Quizplus · Accepted Answer

We can directly read off the mean and variance from the normal density function. The mean is -3 and the variance is 36. To get the standard deviation, we take the square root of the variance, which gives us 6. Therefore, the correct answer is A.

Find the Mean,variance,and Standard Deviation of the Normal Density Function