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    Is Y Gamma-Distributed If Y = 1 + X Where X ~ Gamma(k, θ)?

    I hav a random variable X which is gamma-distributed with scale θ and shape k, i-e X ~ gamma(k,θ); Now I have another variable, Y= 1+X, is Y gamma-ditributed? if yes what will be the scale and shape parametrs for Y, and what will be the expression for the probability density function of Y...
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