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1)Calculate the MGF of X^2+Y, if X follows a Bernoulli(0.5), and Y follows a Binomial(3,0.5), and...

1)Calculate the MGF of X^2+Y, if X follows a Bernoulli(0.5), and Y follows a Binomial(3,0.5), and if X and Y are independent.

2) Let X follow PDF f(x):= exp(-x^2/2)/√(2π), for -∞<x<∞. The corresponding Cumulative Distribution Function is denoted by F(x)=P(X<=x). If Y is independent with X, follows the same distribution as X, what is the probability that the minimum of X and Y will be positive.

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