# 5. Let X1, ..., X 100 be i.i.d. random variables with the probability distribution function f(x;0)...

###### Question:

5. Let X1, ..., X 100 be i.i.d. random variables with the probability distribution function f(x;0) = 0(1 - 0)", r=0,1,2..., 0<o<1 Construct the uniformly most powerful test for H, :0= 1/2 vs HA: 0 <1/2 at the significance level a =0.01. Which theorems are you using? Hint: EX = 1, VarX = 10.

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