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Question

The probability that an MDM4U logs on to Adobe connect is 0.4. If Mr Ouyang picks 2 students at random, create a probability distribution for the number of students logging on to Adobe connect.

Answer 1

Assuming independence, since all students are equally likely to connect, this is a binomial setting. We are given n=2 students are chosen and p=0.4 for the probability a students logs in. So the distribution is for the number of students connecting is Bin(2,0.4).

 

The PMF is

 

P(N=0) = 0.6² = 0.36

P(N=1) = 2(0.4)(0.6) = 0.48

P(N=2) = 0.4² = 0.16

 

And the support is {0,1,2}.