S230.t1.F09 - (b What assumption(s underlies your solution to(a Comment briefly on how likely it is that your assumption(s is valid(10 marks 3 In a

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Statistics 230, Fall 2009 Midterm Test Time: 70 minutes (10 marks) 1. Letters addressed to individuals A,B and C are randomly placed in the three addressed envelopes, one letter per envelope. (a) List a 6-point sample space. (Be sure to make it clear what your points represent.) (b) List the sample points corresponding to each event and give the probability for the event. D: A’s letter goes in the correct envelope. E: No letter goes in the correct envelope. F: Exactly one letter goes in the correct envelope. (10 marks) 2. Five people get on an elevator at the ground floor and can get off at floors, 2, 3, …, 8. (a) What is the probability (i) they all get off at different floors. (ii) they all get off at the same floor (iii) two get off at one floor and three get off at another floor. (Calculations not required – expressions are sufficient for (a)).
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (b) What assumption(s) underlies your solution to (a)? Comment briefly on how likely it is that your assumption(s) is valid. (10 marks) 3. In a slalom ski race 20% of competitors fail to finish (due to crashing or going off course), independently of other competitors. Calculate the probability (a) in a race with 8 competitors, exactly 2 fail to finish. (b) The 8 th competitor in a race is the second one who fails to finish (c) The 8 th competitor in a race is the second one who fails to finish, given that 2 of these 8 competitors fail to finish. Statistics 230, Fall 2009 Midterm Test Name: _______________________ Time: 70 minutes ID #: _______________________ Instructor/Section: M. LaCroix (1, 2, 5) __; C. Springer (3) __ ; S. Khan (4) __ PLEASE INDICATE YOUR INSTRUCTOR/SECTION ABOVE....
View Full Document

This note was uploaded on 11/30/2010 for the course MATH 235/237 taught by Professor Wilkie during the Spring '10 term at Waterloo.

Page1 / 3

S230.t1.F09 - (b What assumption(s underlies your solution to(a Comment briefly on how likely it is that your assumption(s is valid(10 marks 3 In a

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online