homework_2_2005

homework_2_2005 - Homework Set #2 Problem 1 A machine to...

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

View Full Document Right Arrow Icon
Homework Set #2 Problem 1 A machine to detect improper welds in a fabricating shop detects 80 percent of all improper welds, but it also incorrectly indicates an improper weld on 5 percent of all satisfactory welds. Past experience indicates that 10 percent of all welds are improper. (a) What is the probability that a weld that the machine indicates to be defective is in fact satisfactory? (b) What is the probability that a weld which the machine indicates to be satisfactory is in fact defective? (c) Compare the probabilities in (a) and (b) and comment on their relative magnitudes. Problem 2 The service stations along a highway are located according to a Poisson process in space, with an average of 1 service station in 10 miles. Because of a gas shortage, there is a probability of 0.3 that a service station would have no gasoline available. Assume that the availabilities of gasoline at different service stations are statistically independent. (a)
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/04/2011 for the course ESD 1.151 taught by Professor Danieleveneziano during the Spring '05 term at MIT.

Ask a homework question - tutors are online