In a biomedical research activity it was determined that the survival time, in weeks, of an animal when subjected to a certain exposure of gamma radiation has a gamma distribution with k = 5 and tetha...

In a biomedical research activity it was determined that the survival time, in weeks, of an animal when subjected to a certain exposure of gamma radiation has a gamma distribution with k = 5 and tetha = 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?