## Question

# Discrete sample spaces: suppose there are N cable cars in San Francisco, numbered sequentially from 1 to N. You see a cable car at

## Discrete sample spaces: suppose there are N cable cars in San Francisco, numbered sequentially from 1 to N. You see a cable car at random; it is numbered 203. You wish to estimate N. (See Goodman, 1952, for a discussion and references to several versions of this problem, and Jeffreys, 1961, Lee, 1989, and Jaynes, 2003, for Bayesian treatments.) (a) Assume your prior distribution on N is geometric with mean 100; that is, p(N) = (1/100)(99/100)N-1, for N = 1,2,.... What is your posterior distribution for N? (b) What are the posterior mean and standard deviation of N? (Sum the infinite series analytically or approximate them on the computer.) (c) Choose a reasonable 'noninformative' prior distribution for N and give the resulting posterior distribution, mean, and standard deviation for N.

## Step by Step Solution

3.30 Rating (153 Votes )

There are 3 Steps involved in it

### Step: 1

### Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

### Step: 2

### Step: 3

## Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started## Recommended Textbook for

### Physics for Scientists and Engineers A Strategic Approach with Modern Physics

**Authors:** Randall D. Knight

4th edition

978-0134092508, 134092503, 133942651, 978-0133942651

#### Students also viewed these Physics questions

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

### Question

Answered: 1 week ago

View Answer in SolutionInn App