Homework5.4key

# Homework5.4key - 1 Homework from Section 5.4 5.27(p.221 A...

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: 1 Homework from Section 5.4 5.27 (p.221). A chemical supply company currently has in stock 100 pounds of a certain chemical, which it sells to its customers in 5-lb lots. Let x denote the number of lots ordered by a randomly selected customer, and supposed x has the following probability mass function: x: 1 2 3 4 p(x) 0.2 0.4 0.3 0.1 a) Compute the mean number of lots ordered by a customer. = ∙ ( ) =1 = 1 ¡ 0.2 ¢ + 2 ¡ 0.4 ¢ + 3 ¡ 0.3 ¢ + 4 ¡ 0.1 ¢ = 2.3 b) Compute the variance of the number of lots ordered by a customer. 2 = ¡ − ¢ 2 ∙ ( ) = ¡ 1 − 2.3 ¢ 2 ¡ 0.2 ¢ + ¡ 2 − 2.3 ¢ 2 ¡ 0.4 ¢ + ¡ 3 − 2.3 ¢ 2 ¡ 0.3 ¢ + ¡ 4 − 2.3 ¢ 2 ¡ 0.1 ¢ = 0.338 + 0.036 + 0.147 + 0.289 = 0.810 c) Compute the expected number of pounds left after a customer’s order is shipped. Since the expected number of lots ordered is 2.3 and each lot is 5 lbs, the expended number of pounds left over for one customer is 100 – (2.3)(5) = 88.5 lbs 5.30 (p.221). Suppose that the reaction time (sec) to a certain stimulus is a continuous 5....
View Full Document

## This note was uploaded on 03/26/2012 for the course STAT 350 taught by Professor Staff during the Spring '08 term at Purdue.

### Page1 / 3

Homework5.4key - 1 Homework from Section 5.4 5.27(p.221 A...

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

View Full Document
Ask a homework question - tutors are online