A gamma function problem
Please solve this task while describing the process for solving it, assume that statistical terminology is understood at a basic level.
The task is in the attached picture.
Best regards.
Robin Hyaku
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Schwartstack
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Thank you, much appreciated.

Would you mind adding the actual function that is used to get the result 10.85081?

I did. In R the function is qgamma(.05, 10, 1/2). In excel, the function is GAMMA.INV(0.05, 10, 2).

I mean the actual mathematical function. What does the mathematical fucntion that is being used to solve this problem look like??

Google ‘gamma inverse cdf’
The answer is accepted.
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