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Question

Statistics Question on Univariate Distributions

Let 𝑋1,𝑋2, 𝑋3 be 𝑖.𝑖.𝑑. random variables, each having the 𝑁(2, 4) distribution. If 𝑃(2𝑋1-3𝑋2+6𝑋3>17)=1-Φ(𝛽), then 𝛽 equals ________

Answer

The correct answer is: 0.5