Slides Week 4 and 5

# Slides Week 4 and 5 - JUST REMEMBER IT CAN ALWAYS BE WORSE...

This preview shows pages 1–10. Sign up to view the full content.

JUST REMEMBER, IT CAN ALWAYS BE WORSE!!!

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

View Full Document
1.)  0 �   Pr[anything] �  1 2.)  Pr[S] = 1.0, Pr[� ] = 0.0 3.)  Pr[E] = sum of pr’s of outcomes in E 4.)  Pr[E’] = 1.0 - Pr[E] * 5.)  If ELO, then Pr[E] = n(E)/n(S) 6.) Pr[A «  B] = Pr[A]+Pr[B]-Pr[A «  B]  7.) If A, B, and C are pairwise disjoint       events in S, then        Pr[A or B or C] = Pr[A]+Pr[B]+Pr[C] PROBABILITY THEORY - THE RULES
EG1) A sample space S has two events, A and B. If Pr[A] = 0.5, Pr[B] = 0.35, and Pr[A B] = 0.2, find… a.) Pr[A B ] b.) Pr[A’ x B’] c.) Pr[A B’ ]

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

View Full Document
EG2) A sample space S has three events, A, B, and C. If Pr[A] = 0.4, Pr[B] = 0.6, Pr[C] = 0.6, Pr[A B] = 0.7, Pr [A C] = 0.8, Pr[B C] = 0.3, and Pr[A 8 B C] = 0.1, find…. a.) Pr[ A x B ] d.) Pr[ A C B’ i C ] b.) Pr[ A x C ] e.) Pr [ A’ B’ C’ ] c.) Pr[ B x C ] f.) Pr [ A’ r B’ C ]
EG3) A sample space S has three events, A, B, and C, and it is true that A (B C) = . If Pr[A] = 0.4, Pr[B] = 0.35, Pr[C] = 0.25, and Pr [ A’ B’ C’ ] = 0.2, find…. a.) Pr[ C’ ] b.) Pr[ B C ] c.) Pr[ B C ] d.) Pr[ B’ C’ ]

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

View Full Document
EG4) A sample space S = { O1, O2, O3, O4, O5, O6 }, with w1 = 0.10, w2 = w3 = 0.15, w4 = 0.05, and w5 = .30. If the event E = { O2, O3, O6 }, and F = { O1, O2, O4, O6 }, find a.) Pr [ E ] b.) Pr [ E’ r F ]
EG5) A survey of students returning from Spring Break in Florida revealed the following information: 35% got arrested 45% have no memory of the week 55% took a wrong turn and ended up in Iowa 15% got arrested and have no memory of the week 20% got arrested and ended up in Iowa 25% have no memory of the week and ended up in Iowa 10% had all three of these things happen to them a.) What proportion of the students got arrested but did not end up in IA? b.) What proportion of the students had exactly two of the three things above happen to them? Exactly one?

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

View Full Document
EG6) After graduation, you get a job working for Pepsi. As part of your job, you must select a cow to be used in a new commercial. From past experience, you have the following information at your disposal: Event Pr[Event] a.) Pr [ something wrong ] OK 0.70 b.) Pr [ wrong weight ] too heavy (W1) 0.14 c.) Pr [ wrong design ] too thin (W2) 0.10 d.) Pr [ correct weight ] too many spots (D1) 0.09 e.) Pr [ wrong weight or design ] too few spots (D2) 0.04 f.) Pr [ wrong weight and design ] If a cow is randomly selected from among those available, find…..
EG7) A box contains 18 animals. Of these, 7 are ferrets, 8 are rabid animals, and 5 are rabid ferrets. An experiment consists of reaching into the box and randomly selecting one animal from the box.

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