Question

Suppose there are 100 people at airport security, 45 passengers were flying to Dallas of which 30 were men. 55 Passengers were flying to Portland of which 12 where men.

a. What is the probability that a randomly selected person is a man flying to Dallas?
b. Are the events flying to Dallas' and being a man' independent events? Explain.
c. Are the events 'flying to Dallas' and being a man' mutually exclusive events? Explain.

Answer 1

Answer: A: 30% B: Yes they are independent events because they can both happen without the other one. C: No they are not mutually exclusive events because both of them can happen at the same time

Explanation:

45 / 100 = .45 = 45%

.45 x 2/3 = .3

.3= 30%