Homework2.pdf - Homework 2 IE 530/STAT 13 1 This question has two parts(a Let X ∼ Negative Binomial(r p Show that µX = r p σX2 = r(1 − p p2(b Let

# Homework2.pdf - Homework 2 IE 530/STAT 13 1 This question...

• 2

This preview shows page 1 - 2 out of 2 pages.

Homework 2 IE 530/STAT 13 1. This question has two parts. (a) Let X Negative Binomial( r, p ). Show that μ X = r p ; σ 2 X = r (1 p ) p 2 (b) Let X Poisson( λ ). Show that σ 2 X = λ . 2. This question has three parts. (a) Consider a large population with defect ratio of 1%. We draw a large number of samples, each of size 25 and count the number of defective items in each sample. Let D I denote the number of defective items found in sample i , i = 1 , 2 , . . . N , where N 1. Estimate the median, first quartile and third quartile of the sequence D 1 , D 2 , . . . , D n . (b) Let X N( μ = 2 , σ 2 = 0 . 04). Consider a large number of observations of X , that give the values x 1 , . . . , x N , where N 1. Estimate the 12 th percentile of the observations. (c) Consider the Fibonacci sequence given by the recurrence relation F n = F n - 1 + F n - 2 , F (0) = F (1) = 1 . Write the Fibonacci sequence up to n = 15. What percentile of the set of numbers you wrote is the number 21? 3. This question has two parts. (a) Problem 3.10; solve parts (

Subscribe to view the full document.

• Fall '97
• RAVINDRAN
• Quartile, 1%, \$3, Fibonacci number, ten minutes

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes