Question

F a random variable is normally distributed with mean 10 and standard deviation 1, 68% of its possible values fall between ____________ and ____________.

A. -[infinity], [infinity]
B. 7, 13
C. 8, 12
D. 9, 11

Answer 1

The values between which 68% of the possible values of the normally distributed random variable fall are 9 and 11.

Step-by-step explanation:

The question asks for the values between which 68% of the possible values of a normally distributed random variable with a mean of 10 and standard deviation of 1 fall. According to the Empirical Rule, about 68% of the values lie within one standard deviation of the mean. So, the values will fall between 10-1 = 9 and 10+1 = 11. Therefore, the correct answer is D. 9, 11