Chapter 16: separate solutions

Question 1

Compute default n=5 coverage and selection.

Coverage is 1-0.6^5=0.92224. Selected success is 0.92224*0.9=0.830016, because the selector finds a correct candidate with probability 0.9 when one exists.

Question 2

Why prefer n1 under shared error?

With a shared error, coverage stays 0.4 whatever the count. A bank with a correct candidate then holds only correct candidates, so for two or more candidates selected success is 0.4*1+0.6*0=0.4 whatever the selector accuracy. Success ties at 0.4, but the extra samples and the selector add cost, so one candidate (cost 1) is preferred.

Question 3

What if no allocation is feasible?

selected_allocation is unavailable; revise the allowed contract or abstain.