00:01
The question here says that at denver international airport, 86 % of recent flights have arrived on time.
00:08
So the probability of success is 0 .86.
00:11
So a sample of 12 flights is today.
00:14
So first part is that what is the probability that all 12 of the flights were on time? so here we have a binomial distribution right.
00:21
So the probability mass function for this is ncx into p to the power x into 1 minus p to the power nm.
00:30
X right now in the first part we have to compute that all the 12 flights were on time that is probability of x is 12 this is equal to 12 c12 into 0 .86 to the part 12 into 1 minus 0 .86 to the 12 minus 12 so this is equal to this is computed as 1 into 0 .16367 into 1 that is equal to 0 .1638 right next part of the question is that to compute the probability that exactly tenth of the flights were on time, that is, probability for x is equal to 10.
01:08
So this is equal to 12c10 into 0 .86 to the part 10 into 1 minus 0 .86 to the part 12 minus 10.
01:18
So this is equal to 0 .2863.
01:23
Right? now, the third part of this question is to compute the probability that 10 or more flights were on time.
01:29
So the probability for x is greater than equal to 10...