THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The continuous random variable X is uniformly distributed over the interval 4 to 10.
-What is the standard deviation of this distribution?
A)1.732
B)3.162
C)2.646
D)2.449

Question

Quizplus · Accepted Answer

The standard deviation of a uniform distribution is given by the formula σ = (b - a) / √12, where a and b are the lower and upper bounds of the distribution, respectively. In this case, a = 4 and b = 10, so σ = (10 - 4) / √12 = 6 / √12 = 1.732.