The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. determine the following: (a) cumulative distribution function of flange thickness (b) proportion of flanges that exceeds 1.02 millimeters (c) thickness exceeded by 90% of the flanges (d) mean and variance of flange thickness

Answer

given,

thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

X = U[0.95,1.05]           0.95≤ x ≤ 1.05

the cumulative distribution function of flange

F(x) = P{X≤ x}=

                     =

b) P(X>1.02)= 1 - P(X≤1.02)

                   =

                   = 0.3

c) The thickness greater than 0.96 exceeded by 90% of the flanges.

d) mean =

              = 1

   variance =

                  = 0.000833