# Probability maximum value of samples from different distributions

You're drawing a total of n samples from these two distribution: q samples from A, and n-q from B. What is the probability that the largest value among the n samples came from Distribution A? Please explain your steps. Assume n is finite and relatively small (<100). Verify your results by calculating the probability that the largest sample comes from A for the following parameters: $n = 6, q = [1,2,3,4,5], \mu_A=1001$ and $\mu_B=1000$, and $\sigma=10$.

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9

## Answer

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Hey there- I'm working on the answer, but wanted to clarify that n represents the total sample size between the two distributions?

Yes, that is what n represents.

Thanks