Let X be exponential(lambda), and let Y=max(1,X).

Find the cdf of Y. Also sketch the cdf.

Suppose that X is discrete with pmf p(0)=p(1)=2p(2) (and zero otherwise).

Find the pmf and cdf of X.

How would you simulate the random variable X starting with U, a uniform[0,1] random variable?

That is, find a function g, such that g(U) has the same pmf/cdf as X.

Mod Note: Please don't double post the same question.

Find the cdf of Y. Also sketch the cdf.

Suppose that X is discrete with pmf p(0)=p(1)=2p(2) (and zero otherwise).

Find the pmf and cdf of X.

How would you simulate the random variable X starting with U, a uniform[0,1] random variable?

That is, find a function g, such that g(U) has the same pmf/cdf as X.

Mod Note: Please don't double post the same question.

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