00:01
This problem says a survey finds that 19 % of americans suffer from a sleep disorder.
00:05
For a randomly selected sample of 20 people, find each probability and round intermediate calculations and final answers to at least three decimal places.
00:12
And to find these probabilities, we are going to treat this as a binomial distribution because we have a probability that's considered success or failure.
00:19
Either we are going to suffer from a sleep disorder or we're not.
00:22
And we also have events or variables that are independent from each other and that the probability of one person suffering from the sleep disorder or not doesn't affect the probability for the next person.
00:30
And we are correct with our first answer for the probability being x greater than or equal to 3.
00:36
In other words, at least 3 people have sleep disorder.
00:38
And we can find that probability using binomial cdf in our calculator, which requires us to list the n -value, p -value, lower bound, and upper bound that we want the probability between, which can give us that 0 .761.
00:51
And now looking at b, we want the probability of 2 or 3 people having a sleep disorder...