ISYE 6650 Exam 1 | Test Modules 1-5 | Georgia Institute of Technology

Exam 1 av
Due Oct 1 at 11:59pm Points 100 Questions 28
Available Sep 27 at 12:01am - Oct 1 at 11:59pm Time Limit 90 Minutes



Instructions

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v Objective

Test Modules 1 -- 5

> Instructions

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, Section A (Q1 -- Q10): Short-Answer Questions (Work needed
from some questions)




Question 1 3/3pts

We have Pr(A) = 0.2, Pr(B) = 0.5 and Pr(A[B) = 0.3. What is Pr(A
and B)?




0.15



Answers 0.15 (with margin: 0)
T




Question 2 3/3pts

Suppose A, B and C are independent events with
Pr(A) = 1/5,Pr(B) = 1/3,Pr(C) = 3/4. Calculate
Pr(AnN (BUCQ)). Show your work.
(Hint: Draw a venn diagram.)



orect P
:ct Answers 0.1666 (with margin: 0.0001)

, Question 3 3/3pts

Let E and F be independent and
Pr(E) = p, Pr(EN F°) = p/3 where p>0. What is the value
of Pr(F)? Show your work.
(Hint: If E and F are independent, then E and the complement of
F are also independent.)



0.6667



rrect Answers 0.6666 (with margin: 0.0001)