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

Option 2) A binomial variable with 25 independent trials                  

Step-by-step explanation:

We are given the following in the question:

Sample size = n

R: the number of people from the sample who answer yes to the question whether they have read a novel in the past year.

Then, the random variable R follows a binomial distribution:

Thus, R is a binomial variable with 25 independent trials.

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.