00:01
So in this question, we are considering here that in a population, 29 % of all births that we have in such a region are considered as a caesarean section.
00:19
So in this case, here, we are interested in using that information first, if you know the number of a specific number of birds in a specific amount of lifetime, how much we should expect of them to have that characteristic that will take place by caesarian section.
00:42
Because this is the proportion or percentage that we're going to find, we can consider that as the, in this case, proportion or probability of observing such type of birth in that specific region.
00:56
So if you're interested in the expected number, where x is the number of cesarean birth, that will be in times v, 020.
01:06
And that is 232.
01:10
Then in b we are interested in this standard deviation.
01:14
Because we are counted the number of firsts that we have as being, in this case, taking as like a cesarean section, we are going to consider here that the distribution of this number that is binomial, like it's distributed.
01:33
So we have that this x, which is the number of first with like characteristic, follows a binomial distribution with two values, the number of percy that we are considering, and the probability of having one with that specific characteristic.
01:51
So based on this distribution, we have the distance deviation is given by the square root of np 1 minus p, where this is the multiplication.
02:01
So using this formula, we have 800, 029, 071, and if you compute this, we're going to get 12 .83.
02:14
Now, we are going to find the, based on the empirical rule, the empirical rule finds here, in this case, the interval...