Math 110 - Introduction to Statistics
Module 3 Exam
Exam Page 1
Question 1: Suppose A and B are two events with probabilities:
P(Ac) = 0.40, P(B) = 0.45, P(A∪B) = 0.60.
a) P(A∩B): 0.45
b) P(A): 0.60
c) P(Bc): 0.55
Exam Page 2
Question 2: Suppose you are going to make a password that consists of 4 characters chosen from
{2,7,8,c,f,k,t,z}. How many different passwords can you make if you cannot use any character more
than once in each password?
Using the formula for permutations:
P(8,4) = 8! / (8-4)! = 8×7×6×5 = 1680
Exam Page 3
Question 3: Suppose a coin is flipped three times. What is the probability of getting exactly two
heads?
P(2 Heads) = C(3,2) × (0.5)2 × (0.5)1 = 0.375
Exam Page 4
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