What does the memoryless property refer to? An event cannot occur if it has already occured within a recent specified time period. The distribution of the time until an event does not depend on how much time has already passed. The occurrence of an event is independent of the number of times that event has already occurred. None of the above. Suppose X~ GAM (a, 3). Which of the following statements are true? Select all that apply. 3 is a location parameter. E[X]=a3 a is a location parameter. 3 is a shape parameter. 3 is a scale parameter. a is a shape parameter. a is a scale parameter. For a > 1, the probability density function (pdf) is monotonic decreasing. For a < 1, the probability density function (pdf) is monotonic decreasing. None of the above.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 21E
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What does the memoryless property refer to?
An event cannot occur if it has already occured within a recent specified time period.
The distribution of the time until an event does not depend on how much time has already
passed.
The occurrence of an event is independent of the number of times that event has already
occurred.
None of the above.
Suppose X~ GAM (a, 3). Which of the following statements are true? Select all that apply.
3 is a location parameter.
E[X]=a3
a is a location parameter.
3 is a shape parameter.
3 is a scale parameter.
a is a shape parameter.
a is a scale parameter.
For a > 1, the probability density function (pdf) is monotonic decreasing.
For a < 1, the probability density function (pdf) is monotonic decreasing.
None of the above.
Transcribed Image Text:What does the memoryless property refer to? An event cannot occur if it has already occured within a recent specified time period. The distribution of the time until an event does not depend on how much time has already passed. The occurrence of an event is independent of the number of times that event has already occurred. None of the above. Suppose X~ GAM (a, 3). Which of the following statements are true? Select all that apply. 3 is a location parameter. E[X]=a3 a is a location parameter. 3 is a shape parameter. 3 is a scale parameter. a is a shape parameter. a is a scale parameter. For a > 1, the probability density function (pdf) is monotonic decreasing. For a < 1, the probability density function (pdf) is monotonic decreasing. None of the above.
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