Question

Find the mean and standard deviation of the specified probability density function. f(x) = 001 - for [12, 20] O A. u = 15, o = 2.31 B. u = 1.6, o = 2.29 O c. u = 16, o = 2.31 OD. u = 15.5, o = 2.28

Answer 1

solutio 2 Given the probabil, y deos: function the mean fa - Ś for [12,20] Here above is the probability densite function of uniform distribution, so we can find end standard deviation by U5i24 by using to uniform distribution The probility density function of Horform distribution is, flad a<x< 6 (b-a) xwuniform carb) mean oru) atb 2 Standaod deriation 16) 12 a = 12 b = 20 A Meania) = 12720 2 Meanca = 16 8 V (20-122 2 5.33 - 2.309 2.3/7 cround 70 2 decimal Place) u=16 7 2:37