5.3 Binomial Distributions

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5.3 Binomial Distributions - Quiz

Questions and Answers
  • 1. 

    Which of the following is not a property of a Binomial Experiment?

    • A.

      All trials are identical.

    • B.

      Each trial has only two possible outcomes.

    • C.

      The probability of success may change from trial to trial.

    • D.

      The purpose of the experiment is to determine the number of successes that occurs during the n trials.

    Correct Answer
    C. The probability of success may change from trial to trial.
  • 2. 

    Which of the following is not an example of a Bernoulli Trial?

    • A.

      A coin is tossed 20 times and the number of heads is recorded.

    • B.

      A container contains 49 numbered balls. Six are drawn one at a time from the container.

    • C.

      A couple produces 18 children. The number of female children is recorded.

    • D.

      A batter has a lifetime average of .300. The number of hits in 5 successive at-bats is recorded.

    Correct Answer
    B. A container contains 49 numbered balls. Six are drawn one at a time from the container.
  • 3. 

    In the expression , which value represents the number of trials?

    • A.

      10

    • B.

      4

    • C.

      6

    • D.

      0.3

    Correct Answer
    A. 10
  • 4. 

    In the expression , which value represents the probability of a success?

    • A.

      0.3

    • B.

      0.7

    • C.

      0.0081

    • D.

      0.117649

    Correct Answer
    A. 0.3
  • 5. 

    In the expression , which value represents the number of failures?

    • A.

      10

    • B.

      4

    • C.

      6

    • D.

      0.7

    Correct Answer
    C. 6
  • 6. 

    What is the probability of rolling exactly two 6's on ten successive rolls of a six sided die? Leave your answer as a decimal and round to the nearest hundredth.

    Correct Answer
    0.29
    29.07
  • 7. 

    A young couple plans to have a family with four children. Assuming that the behaviour of their first child does not cause them to alter their plans, what is the expected number of girls for their family?

    Correct Answer
    2
    Explanation
    E(x) = np = 4(0.5) = 2

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  • 8. 

    A student suggests the following expression to represent the probability of achieving four successes in seven trials of a binomial experiment for which the probability of success is 0.3. What error did the student make?

    • A.

      The second exponent should be a 7.

    • B.

      The probabilities for success and failure were reversed from their proper positions.

    • C.

      The probability of failure should be 0.7.

    • D.

      The first exponent should be a 7.

    Correct Answer
    C. The probability of failure should be 0.7.
  • 9. 

    A mail order marketing company has a success rate of 15% to their advertising flyers. Compute the probability that exactly 3 people out of 20 respond to the flyers they receive. Leave your answer as a decimal and round to the nearest hundredth. 

    Correct Answer
    0.24
    24.28
  • 10. 

    A mail order marketing company has a success rate of 15% to their advertising flyers. Find the expected number of people in a sample of 20 who will respond to the flyers. 

    Correct Answer
    3
    Explanation
    E(x) = np = 20(0.15) = 3

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 24, 2014
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 23, 2014
    Quiz Created by
    Jensenmath9
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