Course 4 May 2000 Multiple Choice Exams
Course 4 May 2000 Multiple Choice Exams
Course 4 May 2000 Multiple Choice Exams
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
18. You are given two independent estimates of an unknown quantityµ:<br />
b g<br />
b g<br />
b g<br />
b g<br />
(i) Estimate A: E µ A<br />
= 1000 and σ µ A<br />
= 400<br />
(ii) Estimate B: E µ B<br />
= 1200 and σ µ B<br />
= 200<br />
Estimate C is a weighted average of the two estimates A and B, such that:<br />
µ = w⋅ µ + 1− w ⋅µ<br />
C A B<br />
b<br />
g<br />
Determine the value of w that minimizes σ bµ C g .<br />
(A) 0<br />
(B) 1/5<br />
(C) 1/4<br />
(D) 1/3<br />
(E) 1/2<br />
COURSE/EXAM 4: MAY <strong>2000</strong> - 18 - GO ON TO NEXT PAGE
Change language