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27. If arrivals follow a Poisson distribution, waiting times follow the exponent

ID: 3132230 • Letter: 2

Question

27. If arrivals follow a Poisson distribution, waiting times follow the exponential distribution. (T/F)

28. For a continuous random variable, the total area beneath the PDF must be one. (T/F)

29. The exponential distribution describes the number of arrivals per unit of time. (T/F)

30. The second quartile is the same as median. (T/F)

31. A trimmed mean may be preferable to a mean when a data set has extreme values. (T/F)

32. Given the data set 10, 5, 2, 6, 3, 4, 20, the median value is 5. (T/F)

33. In calculating the sample variance, the sum of the squared deviations around the mean is divided by n - 1. (T/F)

34. The probability of the union of two events P(A or B) can exceed one. (T/F)

35. Independent events are mutually exclusive. (T/F)

Explanation / Answer

27. True: arrivals follow a Poisson distribution, then the waiting times follow the exponential distribution.

28. True: In a continuous random variable, the total area beneath the PDF must be one.

29. False: The exponential distribution does not follows number of arrivals per unit of time, it followed by Poisson distribution.

30. True: The another name of second quartile is the median.

31. True: Trimmed mean may be preferable to a mean when a data set has extreme values:

32: True: Median of the given set of data is 5.

33. True: In the sample variance,the sum of the squared deviations around the mean it should be divided by

n - 1.

34. False: The probability of the union of two events P(A or B) should not exceed one because of sum of the probability it should be one.

35. False: Independent events are not mutually exclusive events.

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