00:01
Okay, so we have 75 % of people in favour of a new building project, and so people in this case are either in favour or not in favour, so we're assuming that there's only two responses and therefore we can use the binomial distribution.
00:16
So i've written that here, we have the binomial distribution with the number 10 and the probability of success is 0 .75, and question a is more of a check of understanding.
00:31
So given the probability of 75 % in favour, is the probability we're looking for low, even or high? so is the probability that at most two people favour the project, so are we, is the probability that either 0, 1 or 2 people favour the project low, even or high? okay, so the way to think about this is think about what your expected value is, so we would expect that if we selected 100 people that 75 of them would be in favour of the project, and so if we selected 10 people, 7 .5 would be in favour of the project, so 7 or 8.
01:12
So our expectation is that actually loads of people would favour the project, and so the probability that at most two favour the project is going to be low.
01:26
Seems pretty unlikely that that's going to happen.
01:29
Okay, so now we can give our answer...