Page 239 - Fundamentals of Probability and Statistics for Engineers

222 Fundamentals of Probability and Statistics for Engineers

f X (x)
4.0

3.0

α = 1.0
2.0 α = 0.8
α = 0.5
α = 0.2

1.0

0.0 x
0.0 0.2 0.4 0.6 0.8 1.0
(a)

f X (x)
8.0

6.0
α = 7
α = 1 β = 1
β = 7
4.0
α = 2 α = 6
β = 6 α = 4 β = 2
β = 4
2.0

0.0 x
0.0 0.2 0.4 0.6 0.8 1.0

(b)
Figure 7.13 Beta distribution with: (a) ˆ 2and ˆ 1:0, ˆ 0:8, ˆ 0:5, and
ˆ 0:2; and (b) combinations of values of and " , ˆ 1,2, ... ,7) such that ‡ ˆ 8

TLFeBOOK