Probability and Statistics

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Please do all the questions. this is about Probability and Statistics, and please show the steps or graph.

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MTH 34200 – HW 04 (10 points) Name_______________________________________ Let 𝑋~𝐺𝐴𝑀(𝛼 = 1, 𝛽 = 1) and π‘Œ~𝐺𝐴𝑀(𝛼 = 2, 𝛽 = 1). Let π‘Š = Max(𝑋, π‘Œ) and 𝑍 = Min(𝑋, π‘Œ). a) Find 𝐸[𝑋] and 𝐸[π‘Œ]. b) Find 𝐹𝑋 (π‘₯). c) Find πΉπ‘Œ (𝑦). d) Find π‘“π‘Š (𝑀). Simplify your answer. e) Find 𝑓𝑍 (𝑧). Simplify your answer. f) Set up an integral to find 𝐸[π‘Š]. g) Set up an integral to find 𝐸[𝑍]. ...
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