00:01
In this question, i'm going to let c denote the event.
00:05
A randomly selected worker primarily drives a car to work.
00:10
P denote the event.
00:12
He or she takes public transportation to work.
00:15
W denote the event.
00:18
The worker primarily walks to work.
00:21
From the us census, probability a randomly selected worker primarily drives a car to work is 0 .867.
00:30
So this is probability of event c.
00:36
Probability of randomly selected worker primarily takes public transport to work is 0 .048.
00:42
So this will be probability of event.
00:47
In part a, want to find probability a rentally selected worker primarily drives a car.
00:54
There's event c.
00:56
Now, n is times, set notation is intercept, or is plus, set notation is union.
01:04
So all, there's union, takes public transport to work, that is event p.
01:11
So we want to find probability of c union p.
01:14
So for union, there is a formula.
01:16
It's probability of c plus probability of p minus probability of c in a set p.
01:24
Probability of c is 0 .867.
01:28
Probability of p is 0 .048.
01:32
Probability of c in a set p.
01:34
Now, c and p are actually mutually exclusive because they're, either primarily drive a car to work or they take public transport to work.
01:42
So c in a set p being mutually exclusive, it will be empty set...