With reference to Exercise 6 17, using the fact that the moments of Y about the origin are the corresponding moments of X about the mean, find a3 and a4 for the exponential distribution with the parameter In exercise If X is a random variable having an exponential distribution with the parameter , use Theorems 4 10 on page 128 and 6 4 to find the moment generating function of the random variable Y X

Question: With reference to Exercise 6.17, using the fact that the moments of Y about the origin are the corresponding moments of X about the mean,

With reference to Exercise 6.17, using the fact that the moments of Y about the origin are the corresponding moments of X about the mean, find a3 and a4 for the exponential with the parameter θ.
In exercise
If X is a random variable having an exponential with the parameter θ, use Theorems 4.10 on page 128 and 6.4 to find the moment- generating function of the random variable Y = X – θ.

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