00:01
Now in this question, we look at the time it takes to path through security screen and airport, right? so if you have x being the time and then according to the question, you know, exponential distribution, so the exponential distribution is continuous distribution.
00:19
So it's given by a property dancing function, right? so i'm going to call fx the property dense function for the time.
00:25
And according to question, that should be given by exponential distribution.
00:29
That's of course combined.
00:32
So that will be the 1 over 12 .1, right? and the exponential to minus time x divided by 12 .1, right? so 12 .1 minutes is the time, it's average time, right? average time for the screening rate.
00:52
So that would be the distribution function.
00:55
Now the first question is, what's probably that you will make it through is security exactly 34 minutes.
01:02
You know, that does not make sense this statement because we're looking at the continued distribution.
01:07
I mean, we're looking at continuous variable.
01:09
The time is continuous variable.
01:10
So it doesn't make much sense if you say exactly at 34 minutes.
01:15
The probability actually it would be exactly zero because we exist continuous variable.
01:21
It does not make sense to talk about exactly at 34 minutes.
01:26
And then what is the probability it will take less than 15 minutes to power? through the security screen, right? less than 15 minutes...