What makes the cdf curve of a uniform distribution a constant positive slope?

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Assignment asks to explain why max of X will have the highest probability..

What is the reason why the probabilities of each random variable create a constant positive slope?

(max$_k$≤)=(1 ≤ ∩ 2 ≤ ∩ ⋯ n ≤ ) explain why

OR

=(1≤)(2≤)⋯ ( ≤) explain why


is this because of linearity and independence ?


This is the very first statistics class I've taken. I'm still learning.

I am suppose to find an unbiased estimator for a given pmf for a uniform distribution.

pmf: $() = \frac{1}\theta{} \ \ \ \ (0 < < )$