00:01
This problem says 45 % of consumers say it's important that the clothing they buy is made without child labor.
00:07
You randomly select 17 consumers, find the probability that the number of consumers who say it is important that the clothing they buy is made without child labor is exactly 7, at least 7, and less than 12.
00:18
For our first problem we're going to use binomial pdf in our calculator because we want the probability of a specific event.
00:24
And we'll use cdf for b and c because we want cumulative probabilities that were greater than or equal to or less than values.
00:30
And we are treating this as a binomial distribution because we have a probability that it's success or failure.
00:35
Either we believe it's important that the clothes is made without child labor or we don't.
00:38
And we also have events or variables that are independent from each other.
00:42
And that the probability of one person thinking that it's important or not important doesn't affect the probability for the next person.
00:47
So for binomial pdf we have to list the n value and p value first of the three values we need.
00:53
And our n value here is 17 with a p value or probability of success of 0 .45 from 45%.
00:59
And then we list the x value that we're looking to observe, in this case 7.
01:03
And now we can evaluate the binomial pdf in our calculator which gives us the result rounded to three decimal places of 0 .184.
01:12
And next we want the probability that we have at least 11 or greater than or equal to 11...