LEC04 Conditional prob

# LEC04 Conditional prob - Conditional Probability example S...

This preview shows pages 1–7. Sign up to view the full content.

Conditional Probability example: S = all Rutgers students E = engineers W = women consider these different probabilities P(W) = .5 P(E) = .05 P(W / E) = .2 P (E / W ) = .02 P(E W) = .01

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

View Full Document
Definition of Conditional Probability given 2 events E S and F S P E F P E F P F P F ( / ) ( ) ( ) ( ) = 0 2
Example: Related Defects in a Product A product can have 2 types of defects, A and B, with probabilities given below. Defect B yes no Defect yes .02 .05 A no .03 .90 P(A) = .07 P(B) = .05 P(A B) = .02 Find P(A/B) A B P A B P A B P B ( / ) ( ) ( ) . . . = = = 02 05 40 3

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

View Full Document
Example Continued Note: P(A)=.07 while P(A/B) = .4 Find P(B/A) and compare to P(B). Find P(B’/A) and compare to P(B/A). Compare P(B/A) and P(A B) = .02 (note commutative law) Defect B yes no Defect yes .02 .05 A no .03 .90 4
Multiplication Rule for P(E F) Definition of conditional probability: 2 events E S and F S P E F P E F P F P F ( / ) ( ) ( ) ( ) = 0 Multiplication Rule: P E F P E F P F ( ) ( / ) ( ) = 5

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

View Full Document
Solving a Problem Using the Multiplication Rule A lot consists of 10 units - 7 good and 3 bad.
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