00:01
Alright, so the question here says that one of the ways a social media influencer earns money is through impressions.
00:07
So kim is one such influencer and every minute on average seven people like her facebook post.
00:13
So she would like to predict the number of people who would like her post because she gets paid by those numbers, right? so assume that the number of likes she receive has poisoned distribution.
00:22
So the value of lambda here is seven.
00:24
Right, so first part of the question is the probability that exactly six people will like her post in the next.
00:30
Minute right so here we'll be using the probability uh formula for poison distribution so this is equal to e to the power minus lambda into lambda to the power x upon x factorial for the value of x 0 1 2 and so on right so we have to compute in the first part the probability for x is equal to 6 this is equal to e to the power minus 7 into 7 to the power 6 upon 6 factorial which is 0 .149 the next part of the question says that what is the probability that kim gets more than 12 likes in the 2 minute period.
01:10
Right.
01:10
So here the value of lambda for 2 minute period will be 7 by 2 that is 14.
01:16
So we have to compute the probability for x is greater than 12.
01:22
That is equal to 1 minus probability of x is less than equal to 12...