{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecturenotes6

# Lecturenotes6 - STAT 430/510 Lecture 6 STAT 430/510...

This preview shows pages 1–5. Sign up to view the full content.

STAT 430/510 Lecture 6 STAT 430/510 Probability Hui Nie Lecture 6 June 3rd, 2009

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
STAT 430/510 Lecture 6 Review Properties of Probability Definition of Conditional Probability The Law of Total Probability Bayes Formula
STAT 430/510 Lecture 6 Example A plane is missing, and it is presumed that it was equally likely to have gone down in any of 3 possible regions. Let 1 - β i , i=1,2,3, denote the probability that the plane will be found upon a search of the ith region when the plane is, in fact, in that region. What is the conditional probability that the plane is in the ith region given that a search of region 1 is unsuccessful?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
STAT 430/510 Lecture 6 Example A bin contains 3 different types of disposable flashlights. The probability that a type 1 flashlight will give over 100 hours of use is 0.7, with the corresponding probabilities for type 2 and type 3 flashlights being 0.4 and 0.3, respectively. Suppose that 20 percent of the flashlights in the bin are type 1, 30 percent are type 2, and 50 percent are type 3.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}