sheets

sheets - Exercises to Accompany"Statistics for Management...

This preview shows pages 1–4. Sign up to view the full content.

Exercises to Accompany “Statistics for Management and Economics,” by Watson et al written (except where indicated) and compiled by Cymra Haskell Please note: These exercises are meant to supplement rather than replace the exercises in the text.

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

View Full Document
2
Sheet I Probability 1. Consider the experiment of choosing one person at random from all students at USC. Consider the events: A = the student is female B = the student is a junior C = the student is a senior D = the student has taken a math course E = the student is in the business school Describe the following events in words. (a) A c (b) B C (c) ( B C ) c (d) B C (e) A E (f) C D c 2. Consider the experiment of drawing two cards from a deck of cards. Consider the events: A = 1st card is a face card B = 1st card is an ace C = 2nd card is a face card D = 2nd card is an ace In parts (a)-(f) write the event described in terms of A , B , C , and D . (a) Both cards are aces. (b) Neither card is an ace. (c) Exactly one of the cards is an ace. (d) The 1st card is either a face card or an ace. (e) At least one of the cards is a face card. (f) The 1st card is neither a face card nor is it an ace. (g) Consider all the pairs of events: AB , AC , AD , BC , BD , CD . Which of them, if any, are mutually exclusive? 3. For each experiment either draw a picture of the sample space that clearly indicates all its mem- bers, or list every element in the sample space, or describe clearly what the elements of the sam- ple space are in such a way that it is apparent how many elements there are total. In each case choose the sample space so that all the outcomes are equally likely. 4. Consider the experiment of rolling a pair of dice. (a) Are the events “sum is 6” and “at least one of the dice shows a 3” mutually exclusive? (b) Are the events “sum is 6” and “at least one of the dice shows a 6” mutually exclusive? (c) Are the events “at least one of the dice shows a 3” and “at least one of the dice shows a 6” mutually exclusive?

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.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern