Given a uniform distribution with a = 670, b = 770, and x = 680, Calculate the probability density function ƒ(680), μ, and σ2The uniform distribution probability is denoted below for a < x < b:Plugging in our values for a, b, and x, we get:
ƒ(680) = 0.01Calculate the mean μ
μ = 720Calculate the median:
The median equals the mean → 720Calculate the variance σ2
= 333Calculate the standard deviation σ
σ = √σ2
σ = √333
σ = 28.