00:02
Here's what we're given.
00:04
The probability of food insecurity is given as 32%, which is 0 .32 as a decimal.
00:12
The number of the sample is 30.
00:18
That would be the sample size for parts a, b, and c.
00:22
We've got 9, well, the convenient sample of 30.
00:29
So n is going to be 30 for us.
00:33
But part d, that will change.
00:35
But we'll address that when we get that.
00:36
There.
00:37
So this is a binomial probability problem because we either have it or you don't.
00:46
And so we want to find the probability that nine students will have food insecurities of 30.
00:54
So the probability in general, binomial probability is probably that x is equal some value k is equal to n choose k times the probability of success to the power of k times times the probability of failure, which is 1 minus p to the number of failures, which is n minus k.
01:13
So the probability that x equals 9 would be 30 choose 9 times the probability of success nine times.
01:24
And failure 1 minus 0 .3, 2 is 0 .68, 21 times.
01:30
There will be 9 successes and 21 failures into a calculator...