{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Exam1.2b_Soln

# Exam1.2b_Soln - IE 111 9:00 Section Exam 1.2a Fall 2011...

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

IE 111 NAME _______Solutions___________ 9:00 Section Exam 1.2a Fall 2011 Instructions Open book, open notes Clearly indicate your answer You must show all relevant work and justify your answers appropriately Partial credit will be given, but not without sufficient support Factorials, permutations, combinations and other complex formulas do not need to be evaluated. You can leave as 4 C 2 for example. Cases where you should compute a final number are noted. Each question is worth 25 points My guess is that this is a long test.

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

View Full Document
Question 1 Consider the events shown in the Venn diagram above: Suppose P(A)=0.3 P(B)=0.1 P(C)=0.5 P(D)=0.2 P(A|B)=0.1. Suppose also that A and C are independent. (Please compute a final probability for each part). a) Find P(C ′∩ D) = 0 since (C ′∩ D)= b) Find P(C ′∩ D ) = P(C ) = 1-P(C) = 0.5 c) Find P(A ′∩ B ′∩ D) = P(D) = 0.2 d) Find P(A C D) = P(A C) = P(A)+P(C)- P(A C) = 0.3+0.5-(0.3)(0.5) = 0.65 e) Find P(A B) = P(A)+P(B)- P(A B) = P(A)+P(B)- P(A|B) P(B) = 0.3 + 0.1 – (0.1)(0.1) = 0.39 Question 2 Two players, player A and player B each roll a single, fair, six sided die (i.e. a regular
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

Exam1.2b_Soln - IE 111 9:00 Section Exam 1.2a Fall 2011...

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

View Full Document
Ask a homework question - tutors are online