assignment_2_08

# assignment_2_08 - ESO 209 PROBABILITY STATISTICS Semester 2...

This preview shows pages 1–2. Sign up to view the full content.

ESO 209: PROBABILITY & STATISTICS Semester 2: 2007-08 Assignment #2 Instructor: Amit Mitra [1] For events , A B and C such that ( ) 0, PC > prove that (a) () ( ) ( ) ( ) ||| PA BC PAC PBC PABC =+− | (b) ( ) |1 | C PA C =− . [2] Let A and B be two events such that ( ) 0 PA 1 < < . Which of the following statements are true? (a) ( ) || C PAB PA B += 1 (b) ( ) C 1 (c) ( ) CC 1 [3] Consider the two events A and B such that ( ) 14, = ( ) PBA = 2 and = 4 . Which of the following statements are true? (a) A and B are mutually exclusive events, (b) A B , (c) ( ) |3 = 4 , (d) ( ) C 1 [4] Consider an urn in which 4 balls have been placed by the following scheme. A fair coin is tossed, if the coin comes up heads, a white ball is placed in the urn otherwise a red ball is placed in the urn. (a) What is the probability that the urn will contain exactly 3 white balls? (b) What is the probability that the urn will contain exactly 3 white balls, given that the first ball placed in the urn was white? [5] A random experiment has three possible outcomes, A , B and C , with probabilities A p , and .

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

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

## This note was uploaded on 08/19/2009 for the course EE EE210 taught by Professor J.john during the Spring '08 term at IIT Kanpur.

### Page1 / 2

assignment_2_08 - ESO 209 PROBABILITY STATISTICS Semester 2...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online