{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

homework_2_2005

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

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

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

{[ snackBarMessage ]}

Ask a homework question - tutors are online