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Questions involve applying properties of exponential distributions. Please provide a brief explanation for each answer. a and b are general variables and no further information

Questions involve applying properties of exponential distributions. Please provide a brief explanation for each answer. "a and b" are general variables and no further information is needed. See attached screenshot for questions.
image text in transcribed D Question 1 1 pts Exponential distribution has the memoryless property, which means P(Y>a+b)=P(Y>a). O True False D Question 2 1 pts Gamma distribution is a special case of exponential distribution, with B = 1 . O True O False D Question 3 1 pts If Y ~ Exp(B = 2) , then P(Y > 1) = e-1/2 . True O False

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