{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# quiz2 - A denote the event that the number of heads is...

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

STA 4321/5325 Quiz 2 Fall 2010 September 17 Name: All problems have exactly one correct answer. Problem 1 Let A and B be two events. Let us recollect that the set ± A denotes the complement of the set A . Then P ( A j B ) + P ( ± A j B ) is equal to (a) 0. (b) 0 : 4. (c) 0 : 5. (d) 1. Problem 2 Let A and B be two independent events such that P ( A ) = 0 : 3 and P ( B ) = 0 : 7. Then P ( A \ B ) is equal to (a) 0 : 21. (b) 1. (c) 0 : 5. (d) 0 : 9. Problem 3 If A and B are mutually exclusive and independent events, then it is always true that (a) P ( A ) = 0 or P ( B ) = 0. (b) P ( A ) = 0 and P ( B ) = 0. (c) P ( A ) = 0 : 5 and P ( B ) = 0 : 5. (d) P ( A ) = P ( B ). Hint: What is P ( A \ B ) in this case?

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

View Full Document
Problem 4 Consider an experiment which consists of tossing a fair coin 1000 times. Let
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A denote the event that the number of heads is strictly larger than 450, and B denote the event that the ±rst 550 tosses are tails. Then P ( A j B ) is equal to (a) 0. (b) 1. (c) 0 : 5. (d) 0 : 4. Hint: Is there any outcome in A as well as in B ? Problem 5 Let B 1 ;B 2 ;B 3 ;B 4 be mutually exclusive and exhaustive events. Then, P ( A ) = P ( A j B 1 ) P ( B 1 ) + P ( A j B 2 ) P ( B 2 ) + P ( A j B 3 ) P ( B 3 ) + P ( A j B 4 ) P ( B 4 ) ; for any event A . This statement is (a) True. (b) False....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

quiz2 - A denote the event that the number of heads is...

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

View Full Document
Ask a homework question - tutors are online