# proj1 - STA 4322/5328 – Project 1 – Spring 2010 Due...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: STA 4322/5328 – Project 1 – Spring 2010 Due Thursday Feb. 4 Part 1: Customers arriving at a Restaurant The number of customers arriving at Cow-Fil-A between 11:30 and 1:30 on weekdays follows a Poisson distribution with mean λ =25 per 10 minute period. The manager observes the number of arrivals in each 10 minute period (and treats them as independent observations). Thus on a given day, she observes: 12 1 ,..., Y Y ~ Poisson( λ =25) and each day she computes: ( 29 ∑ ∑ = =-- = = n i i i i Y Y n S Y Y 1 2 2 12 1 1 1 and 12 1 1. Give the mean and variance of Y 2. Give the theoretical mean and variance of Y 3. If 12 1 ,..., Y Y ~N( μ,σ 2 ), what would be the distribution of (n-1)S 2 / σ 2 ? 4. Obtain m=10,000 random samples of n=12 from the Poisson ( λ =25) distribution, and obtain the sample mean and variance of each sample. a. Give histograms of the sample means and variances b. Give the empirical mean and variance for the sample mean and variance: ( 29 ( 29 ∑ ∑ ∑ ∑...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

proj1 - STA 4322/5328 – Project 1 – Spring 2010 Due...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online