00:01
In this question, we are given on pharmaceutical company claims a new drug is effective against covid 60 % of time, and the drug is tested on 24 selected patients.
00:13
I'm going to let x be the number of patients out of 24 who recovered from covid.
00:18
Now, x follows the binomial distribution.
00:21
You can see there are four criteria for this distribution.
00:24
The first criteria, the number of trials, n is fixed identical.
00:27
Since there are 24 patients, there will be 24 trials.
00:30
So n equals to 24.
00:32
In this trial, we're looking at a patient whether he or she recovered from covid.
00:36
So all the trials are identical.
00:38
So the first criteria is fulfilled.
00:41
Second criteria each trial is independent.
00:43
So you can see that the patient who recovered from covid is independent on the other patients.
00:50
So the second criteria is fulfilled.
00:53
The criteria each trial results in one -two outcomes, success and failure.
00:57
So a patient who recovers that success and a patient who did not recover, that is failure.
01:01
So the third criteria is fulfilled.
01:05
The last criteria, the probability of success in a single trial, denoted by p, remains the same from trial to trial...