00:01
In this situation, they tell us that a hotel claims that 95 % of their customers are very satisfied with the service.
00:07
So they want to know certain probabilities out of a sample of five customers.
00:14
So a sample of five customers.
00:16
In this case, we're going to write the probability as 0 .95.
00:20
Now, given this situation and assuming that each client is independent of each other, we can categorize the situation as a binary.
00:30
Situation.
00:32
So the first probability that they ask is out of a out of the sample of 5 % what is the probability that exactly four customers are satisfied.
00:40
So we're going to do a probability of exactly 4, which in this case is x equal to 4 in a binomial distribution with five trials and a probability of 0 .95.
00:57
That's the lingo that we use with binomial trials and success and so to do these this is very easy if we go to the calculator the any graphical calculator and the statistical module have the binomial so there's two binomial distributions if for example we use the very popular ti -84 calculator the ti 84 all you have to go is go to the distributions key which is in blue and there we're going to go to bind binomial pdf and there we're going to find exactly what we're looking for it's going to ask us the number of trials which in this case is five it's going to ask us the p the probability which is 0 .95 and it's going to ask us the x values how many successes do we want x4 so we paste that and it gives us a probability of 0 .2036 with the four decimal places.
02:09
This is a zero here, just in case...