Statistics Graduate Level Quiz
10 questions · no time limit
0:00
PROBABILITY FOUNDATIONS
Question 1 of 10
No time limit
Current
Answered
Flagged
Not seen
PASSAGE
Ten studies each report the mean of 200 independent observations taking values in [0,1][0,1]. Dependence across studies is unrestricted. For every study, Hoeffding's inequality gives Pr⁡(∣X‾j−μj∣≥0.1)≤2exp⁡(−4)\Pr(|\overline X_j-\mu_j|\ge 0.1)\le 2\exp(-4).
What lower bound for the probability that all ten reported means are within 0.10.1 of their respective expectations follows directly from these inequalities?
YOUR PROGRESS
10
QUESTIONS
Ready when you are
Answer in any order. Your progress shows here as you go.
QUESTIONS
KEYBOARD
Pick an answer ABCD
Next question ↵→
Previous ←
Flag for review F
Answers save as you go · flagged questions come back at the end