Fundamentals of Probability and Statistics for Engineers

9.7

9.11

9.14

9.15

9.20

9.22

9.24

9.26

9.30

9.32

9.34

9.36

9.38

CHAPTER 10

10.1 M ore likely to be accepted at
10.3 H ypothesis is accepted
10.5 H ypothesis is accepted
10.8 Poisson hypothesis is rejected
10.10 G amma hypothesis is accepted
10.12 N ormal hypothesis is accepted
10.14 Poisson hypothesis is accepted
10.16 H ypothesis is accepted

CHAPTER 11

11.1 (a)

386 Fundamentals of Probability and Statistics for Engineers

^ 1 is better

It is biased, but unbiased asn!1

a)^2 /n, b)^2 /n, c)1)/n, d)/n

^2 /n,2^4 /n

a) 1

1

X

,

b) 1

X^9

kˆ 1

1

X

1 

1

X

k 1

A^MLˆX1),A^MEˆX 1

^ˆ 0 :1 3sec^1

a)^MLˆ^MEˆTt 0 )^1

b)T^ (^0) MLˆT1),T^ (^0) MEˆT1/)
c)
^MLˆ‰TT… 1 †Š^1 ;T^ 0
MLˆT…^1 †
^MEˆ…M 2 T^2 †^1 =^2 ;T^ 0
MEˆT…M^2 T
2
†^1 =^2
2 )1/2
a)l1, 2ˆ 63 :65, 81:55, b)l1, 2ˆ 70 :57, 84:43, c)l1, 2ˆ 77 :74, 89: 46
a) 9.16, b)l1, 2ˆ 8 :46, 9: 86
a)l1, 2ˆ1072, 1128, b)l1, 2ˆ1340, 6218 andl 1 ˆ 1478
384

ˆ 0 : 01

B^ˆ

Xn

iˆ 1

xiYi

!

Xn

iˆ 1

x^2 i

! 1