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by: Heli Patel

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2

# day 4 3339

Heli Patel
UH

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day 4 before exam 1
COURSE
Statistics for the Sciences
PROF.
Prof. C Poliak
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Math

This 2 page Class Notes was uploaded by Heli Patel on Monday June 20, 2016. The Class Notes belongs to 3339 at University of Houston taught by Prof. C Poliak in Summer 2016. Since its upload, it has received 6 views. For similar materials see Statistics for the Sciences in Math at University of Houston.

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Date Created: 06/20/16
What’s the difference between disjoint and independent? I  ­ Two events are disjoint if the occurrence of one prevents the other from  happening. ­ P(A ∩ B) = 0 I ­ Two events are independent if the occurrence of one does not change the  probability of the other.  ­ P(A|B) = P(A) ● Joint and Marginal Probabilities ○ The probability of the intersection of two events are called joint  probabilities,  ○ P(E ∩ F). ○ probabilities into a table called a joint probability table. ○  The probabilities in the margins of the joint probability table  provide the probability of each category separately, these are referred to as  marginal probabilities.  ● Buyes’ Rule  ○ Given a prior (initial) probability then from sources we obtain  additional information about the events.  ○ This is an application of the General Multiplication Rule. ○ Let A and B1, B2, . . . , Bk be pairwise disjoint events such that each P(Bi) > 0 and Ω = B1 ∪ B2 ∪ . . . ∪ Bk and assume P(A) > 0. Then for each i, ○

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