Question

The volume of a shampoo filled into a container is uniformly distributed between 374 and 380 milliliters. (a) what are the mean and standard deviation of the volume

Answer 1

For continuous uniform distribution,
μ = (xmax+xmin)/2 = (380+374)/2 = 377
σ ² = (xmax-xmin)^2/12 = (380-374)^2/12=3 =>
σ = √ 3