00:01
In this video, our objective is to find the probability that none of the selected adults say that they were too young to get tattoos.
00:09
All right.
00:10
So it has been given in the question that based on a poll among adults who regret getting tattoos, 14 % say that they were too young when they got their tattoos.
00:19
So the given information is probability of success is equal to 14 % in decimal places.
00:25
This is going to be equals to 0 .1 .1.
00:31
4 all right and number sample size which is n that has been given that assume that seven adults who regret getting tattoos are randomly selected so n we have is equal to 7 okay now so here uh here are we let x be the binomial distribution x is the binomial distribution with parameters n and p all right n is equal to 7 and p is equal so to 0 .14.
01:04
All right.
01:05
So here we need to find out the probability of x is equal to smaller x.
01:11
And we are using the binomial distribution formula here.
01:14
So this, the usual formula is nc x times p to the power x times 1 minus p to the power n minus x.
01:24
All right.
01:24
And here the value of x vary from 0 to 1 up to n all right so uh let's compute the values uh in the given formula okay so this is going to be equal to probability of x is equal to one that is equals to seven c one so ncx here is the number of combinations times 0 .14 which is a probability of success on a single trial to the power 1 times 1 minus 0 .14 so this is the probability of failure on a single trial all right 7 minus 1 to the power.
02:01
Okay.
02:01
So let's solve this ahead.
02:02
Solving this head, this is equal to 7 factorial upon 1 factorial times 7 minus 1 factorial...