Are you assuming s is an integer? Otherwise you should probably use the gamma function. Anywho, can you think of anyway to check which of those answers is correct? Possibly using the fact that a gamma density integrates to 1?
For the integral from [0, infinity] for x^(s-1) * e^(-lambda * x)
You have s and lambda, so is the final answer for this (s-1)! / lambda^(s) ? Or is it (s-1)! / lambda ^(s-1) ?
I understand this, but the only question I have is in the denominator.
Are you assuming s is an integer? Otherwise you should probably use the gamma function. Anywho, can you think of anyway to check which of those answers is correct? Possibly using the fact that a gamma density integrates to 1?
The main part of the post is saying you should be able to deduce which it is by using the fact that a gamma density integrates to 1. Which of the two do you think it is and why?
There you go. Good job.
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