00:01
For this question, it's given that there are 268 million people in the u .s.
00:08
And of these, 33 ,200 ,000 speak a language other than english in their house.
00:17
And of the people who speak another language, 55 % speak spanish.
00:24
We have event e, which is the event in which somebody speaks english.
00:28
Event e prime is the event in which somebody speaks another language.
00:33
And we also have event s, which is speaks spanish.
00:47
And for part a, we're asked to find the probability of event e prime.
00:53
This is an empirical probability.
00:55
It's based on observations.
00:58
And we calculated as the number of people who speak another language divided by the total number of people in the u .s.
01:10
So it's 33 ,200 ,000, divided by 268 million.
01:34
And this comes out to a probability of approximately 0 .1239.
01:43
Part b, we want the probability of e.
01:51
The total number of people who speak english is going to be 268 million minus the number who speak something other than english.
02:01
So in the numerator we can put 268 million minus 33 million, 200 ,000, and then divide that by the total number of people...