(→Problem 2: Bounded Variance) |
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== Problem 2: Bounded Variance == | == Problem 2: Bounded Variance == | ||
| + | All you know about a discrete random variable <math>X</math> is that it only takes values between <math>a</math> and <math>b</math>, inclusive (i.e. <math>X\in[a,b]</math>). How large can its variance possibly be? What is the answer if <math>X</math> is a continuous random variable? | ||
== Problem 3: "Bias" Estimate == | == Problem 3: "Bias" Estimate == | ||
== Problem 4: Votes are In == | == Problem 4: Votes are In == | ||
Revision as of 11:22, 29 October 2008
Contents
Instructions
Homework 8 can be downloaded here on the ECE 302 course website.
Problem 1: Gone Fishin'
On average, it takes 1 hour to catch a fish.
- (a) What is (an upper bound on) the probability that it will take 3 hours?
- (b) Landis only has 2 hours to spend fishing. What is (an upper bound on) the probability he will go home fish-less?
Problem 2: Bounded Variance
All you know about a discrete random variable $ X $ is that it only takes values between $ a $ and $ b $, inclusive (i.e. $ X\in[a,b] $). How large can its variance possibly be? What is the answer if $ X $ is a continuous random variable?
