00:01
In this question, we have to determine which of the following are binomial experiments.
00:08
In part a, tossing a fair coin 1000 times and counting the number of times ahead appears.
00:15
Now, for a binomial distribution, there are four criteria.
00:18
First criteria, the number of trials end is fixed and are identical.
00:24
Second criteria, each trial is independent.
00:27
Third criteria, each trial results in one or two outcomes, success and failure.
00:31
And fourth criteria, the probability of success denoted by p remains the same from trial to trial.
00:40
So if i'm going to let x be the number of heads out of 1 ,000 pusses.
00:54
Then yes, my x will follow a binomial distribution.
00:59
The number of trials is 1 ,000.
01:01
And probability of success in a single trial, in this case, probability of getting a head is half, since a coin is fair.
01:12
So x does follow a, so x does follow a binomial distribution.
01:22
So the experiments here are bin.
01:31
Now in b tossing a fair coin and counting the number of tosses before a head appears...