BUS2 190 Quantitative Business Analysis
Homework 2
As a rule of thumb. Round your answers to 4 decimal places as needed.
2.1. True of False. [Hint: Check the definitions.]
2.1.a (0.3 pt) If events Aand Bare mutually exclusive, then P(A∩B) = P(A)P(B).
Answer 2.1.a. False. If Aand Bare mutually exclusive, then P(A∩B) = 0.
2.1.b (0.3 pt) If events Aand Bare independent, then P(A∪B) = P(A) + P(B).
Answer 2.1.b. False. Regardless of whether Aand Bare independent, P(A∪
B) = P(A) + P(B)−P(A∩B).
2.1.c (0.3 pt) If events Aand Bare mutually exclusive, then they are not independent.
Answer 2.1.c. True.
2.2. (0.3 pt) The outcome of an experiment is the number of resulting heads when a nickel
and a dime are flipped simultaneously. What is the sample space for this experiment?
A) {Nickel, Dime }