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## Assume that on a standardized test of 100 questions, a person has a probability of 80% of answering any particular question correctly. Find

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## Answers ( )

Answer: 0.7264Explanation:The number of independent questions (n) = 100Probability of answering a question (p) = 0.80Let X be the no. of questions that need to be answered.random variable X follows binomial distributionThe probability function of a binomial distribution is given asNow , we nee to find P(74 ≤ X ≤ 84)P(74 ≤ X ≤ 84) =P(74 ≤ X ≤ 84) = 0.7264