# Isye 2027

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: 905) ≈ 0.0567. The Gaussian approximation in this case is fairly accurate: numerical calculation, using the binomial distribution, yields that P {|X − 50| ≥ 6} ≈ 0.0540. (c) The Chebychev inequality implies that P {|X − 50| ≥ 6} ≤ times larger than the value found in part (b). 2 σX 36 = 0.231, which is about four Example 3.6.10 A campus network engineer would like to estimate the fraction p of packets going over the ﬁber optic link from the campus network to Bardeen Hall that are digital video disk (DVD) packets. The engineer writes a script to examine n packets, counts the number X that are DVD packets, and uses p = X to estimate p. The inspected packets are separated by hundreds of ˆ n other packets, so it is reasonable to assume that each packet is a DVD packet with probability p, independently of the other packets. (a) Using the Gaussian approximation to the binomial distribution, ﬁnd an approximation to P {|p − p| ≤ δ } as a function of p, n, and δ. Evaluate it for p = 0.5 and for p...
View Full Document

## This note was uploaded on 02/09/2014 for the course ISYE 2027 taught by Professor Zahrn during the Spring '08 term at Georgia Institute of Technology.

Ask a homework question - tutors are online