In a biomedical research study, it was determined that the survival time, in weeks, of an animal subjected to a certain exposure of gamma radiation has a gamma distribution with a = 5 and ß = 10. (a) What is the mean survival time of a randomly selected animal of the type used in the experiment? (b) What is the standard deviation of survival time? (c) What is the probability that an animal survives more than 30 weeks?

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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In a biomedical research study, it was determined that the survival time, in weeks, of an animal subjected to
a certain exposure of gamma radiation has a gamma distribution with a = 5 and B = 10.
(a) What is the mean survival time of a randomly selected animal of the type used in the
experiment?
(b) What is the standard deviation of survival time?
(c) What is the probability that an animal survives more than 30 weeks?
Transcribed Image Text:In a biomedical research study, it was determined that the survival time, in weeks, of an animal subjected to a certain exposure of gamma radiation has a gamma distribution with a = 5 and B = 10. (a) What is the mean survival time of a randomly selected animal of the type used in the experiment? (b) What is the standard deviation of survival time? (c) What is the probability that an animal survives more than 30 weeks?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,