00:01
In this problem, we have been given a probability distribution, which is shown over here.
00:05
And here, the random variable x represents the number of customers in line at a supermarket express checkout counter.
00:13
Now, if each customer takes three minutes to check out, we need to find the probability that it will take more than six minutes for all the customers currently in line to check out.
00:23
So the time taken should be more than six minutes.
00:28
And it is said that each customer takes three minutes to check out.
00:34
So if we have more than six minutes, then the number of customers in the line should be more than six divided by three, which is equal to two.
00:43
So basically, when we want to find the probability that it will take more than six minutes for the customers in line to check out, we just want to know the probability of x being greater than two.
00:54
That is, there should be more than two customers in line.
00:57
So that's the probability we need to find...