Poisson Sample Exercises

  1. In the following cases, which one can be modeled with a Poisson distribution?

    (1). the number of spam emails that a computer user will receive next week
    (2). the number of accidents on a one mile stretch rural road between 8 a.m. and noon
    (3). the number of left-handed in a random sample of 100 college students

    A. (1) only
    B. (1) and (2) only
    C. (3) only
    D. (2) and (3) only
    E. all (1), (2) and (3) can be modeled with a Poisson distribution

  2. In order for the Poisson to give good approximate values for binomial probabilities we must have the condition(s) that

    A. the population size is large
    B. the sample size is large
    C. the probability of success, p, is close to 0.50
    D. the probability of success, p, is small and the sample size is large
    E. the probability of success, p, is small and the population size is large

  3. Professor Martin receives an average of 8 office visits from his students each week (a five-day school week). The probability, rounded to nearest thousandth, that at least 2 statistics students will visit Professor Martin in his office next Monday is

    A. 0.475
    B. 0.997
    C. 0.014
    D. 0.217
    E. 0.783

  4. Professor Martin receives an average of 8 office visits from his students each week (a five-day school week). The probability, rounded to nearest thousandth, that exactly 2 students will visit Professor Martin in his office next Monday is

    A. 0.011
    B. 0.014
    C. 0.783
    D. 0.258
    E. none of the above

  5. Professor Martin receives an average of 8 office visits from his students each week (a five-day school week). The probability, rounded to nearest thousandth, that at most 3 students will visit Professor Martin in his office next Monday is

    A. 0.042
    B. 0.783
    C. 0.921
    D. 0.014
    E. none of the above

  6. Professor Martin receives an average of 10 office visits from his students each week (a five-day school week). Let X = the number of students that will visit Professor Martin in his office next Tuesday. The standard deviation of X is

    A. 1.4
    B. 2.0
    C. 5.0
    D. 10.0
    E. none of the above

  7. Professor Martin receives an average of 10 office visits from his students each week (a five-day school week). Let X = the number of students that will visit Professor Martin in his office next week. The mean of X is

    A. 1.0
    B. 2.0
    C. 5.0
    D. 10.0
    E. none of the above

  8. Professor Martin receives an average of 8 office visits from his students each week (a five-day school week). The probability that no more than 2 students visit Professor Martin's office next Tuesday corresponds to

    A. where X is poisson with parameter
    B. where X is poisson with parameter
    C. where X is poisson with parameter
    D. where X is poisson with parameter
    E. where X is poisson with parameter

  9. Which of the following is CORRECT about Poisson distribution?

    (1). it is parameterized by the sample size and the probability that a random event will occur
    (2). the possible values for the number of events that could occur is 0,1,2, …
    (3). the theoretical mean is the square root of the theoretical standard deviation

    A. (1) only
    B. (2) only
    C. (2) and (3) only
    D. (1) and (3) only
    E. (1) and (2) only

  10. Suppose 80% of items produced by certain machine are not defective. Let Y = the number of defective items in a random sample of 50 items selected from the output of this machine. The distribution of Y is

    A. binomial with n = 50 and p = 0.8
    B. binomial with n = 50 and p = 0.2
    C. binomial with n = 50 and p = 0.5
    D. poisson with
    E. poisson with