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A random sample of n people selected from a large population will be asked whether they...

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 trials

  • A binomial variable with 25 independent trials

  • A variable that is not binomial with 25 independent trials

  • A binomial variable with 40 independent trials

  • A variable that is not binomial with 40 independent trials

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