00:01
So in the given question, we have been provided three situations and are that which of them represents a bernoulli or binomial experiment.
00:10
Now, for an experiment to be referred to as a binomial experiment, there are certain conditions, right? so it should consist of an independent trials, right? there should be only two outcomes for each trial right and the probability of success it should be same for all trials right so these are the conditions for binomial experiment now here the first part is that a die is rolling a dime many times and observing the number of spots right now for this part the number of spots that can be observed is one two three four five or six right so in on every roll or trial there can be any of the six different outcomes and the success and failure here are not defined so this is not a binomial experiment right now the next is rolling a dime many times and observing this is whether the number obtained is even or odd right now here the probability of an odd number is equal to the probability of having an even number which is 0 .5 and this probability it is fixed for each trial right so there are multiple throws we consider that there are n number of throws so here the probability of success is constant right and each trial and the trial are independent and each trial has two possible outcomes.
02:05
So here all the three conditions for binomial experiment is satisfied which means that this is an example of a binomial experiment right.
02:15
Now the third part here is it says that selecting a free few voters from a very large population of voters and observing whether or not each of them favors a certain proposition in all in an election when 54 % of all voters are known to be in favor of this proposition.
02:41
Okay, so here, when we select few people from population, so we consider that the number of people are selected, right? and our number of people, they favor, right, the proposition.
02:56
So this is the sample and this is the favorable outcomes...