00:01
Hi there, so for this problem, we are told that 50 students, so the number of the sample we're going to call n is 50, live in a dormitory.
00:12
The parking lot has a capacity for 30 cars.
00:16
Each student has a car with a probability of one half independently from other students.
00:22
Use the clt with continuity corruption to find the probability that there won't be enough parking spaces for all the cars.
00:38
Okay.
00:40
So in this case, we are dealing with a binomial distribution.
00:48
We know that n, the number of samples, is 50.
00:52
The probability that we are given pete is 0 .5.
00:56
Or one half.
00:58
So the normal approximation of this distribution, we're going to call first.
01:03
We're going to obtain the value of mew, which is just a product between n and the probability...