Arandom sample of n people selected from a large population will be asked whether they have read a novel in the past year. let the random variable r represent the number of people from the sample who answer yes. the variance of random variable r is 6. assume the responses are independent of each other. if the proportion of people from the population who read a novel in the past year is 0.40, which of the following is the best interpretation of random variable r ?

1. a binomial variable with 15 independent trials
2. a binomial variable with 25 independent trials
3. a variable that is not binomial with 25 independent trials
4. a binomial variable with 40 independent trials
5. a variable that is not binomial with 40 independent trials