Ask Question
MathematicsMathematics
24 April, 18:16

A random 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? a. binomial variable with 15 independent trialsb. A binomial variable with 25 independent trialsc. A variable that is not binomial with 25 independent trialsd. A binomial variable with 40 independent trialse. A variable that is not binomial with 40 independent trials

+3
Answers (1)
  1. 24 April, 18:19
    0
    b. A binomial variable with 25 independent trials

    Step-by-step explanation:

    The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.

    we are given that variance of R=6 and p=probability of success=0.4.

    We know that variance of binomial distribution is

    Variance=npq

    where q=1-p=1-0.4=0.6.

    By putting the values in variance formula, we can get the value of n.

    6=n*0.4*0.6

    6=0.24*n

    n=6/0.24

    n=25

    Hence, random variable R is a binomial variable with 25 independent trials.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A random 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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
4 (x + 1) - 7x = - 3 (x - 1) + 1
Answers (1)
Of 450 lunches were sold at school on thursday 40% were hamburgers and the rest were pizza how many more pizza lunches were sold than hamburgers
Answers (1)
Which two events are independent? 1.) A and X 2.) A and Y 3.) B and X 4.) B and Y
Answers (2)
You have 10$ and you buy something and your change was 6.92 how much did you spend.
Answers (1)
Suppose you have data that shows that 12% of athletes test positive for steroids. You also know that 11% of athletes test positive for steroids and actually use steroids.
Answers (1)
New Questions in Mathematics
Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distance by 2 miles each week. In how many weeks will Angelo and Marc be running the same distance? What will that distance be?
Answers (1)
3 2. DOG FOOD A bag contains 42 cups of dog food. Your dog eats 2 cups of dog food each day. How many days does the bag of dog food last?
Answers (2)
Jane drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles
Answers (1)
Which subtraction expression has the difference 1 + 4i? (-2 + 6i) - (1 - 2i) (-2 + 6i) - (-1 - 2i) (3 + 5i) - (2 - i) (3 + 5i) - (2 + i)
Answers (2)
Choose the number pair that has digits of 4 that differ in place by a factor of 1000. 4 A. 49,823 and 81,540 B. 83,419 and 46,859 C. 54,890 and 81,745 D. 47,063 and 54,722 4. NBT. 1
Answers (1)
Home » Mathematics » A random 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.
Sign Up Forgot Password?