Problem(1) (a) Consider the (random) experiment of throwing THREE coins together. Let S denote the sample...

Problem(1) (a) Consider the (random) experiment of throwing THREE coins together. Let S denote the sample space. List the elements in S.

(b) If HEAD comes up, you win $2 dollars; you lose $1 dollar if TAIL shows up. Let X be the random variable that corresponds to the money you win (a positive value) or lose (a negative value). What are the values that the random variable X takes?

(c) Suppose that the coin is made and thrown fairly. Find P[X = 2].

(d) Find E[X].

(e) Find E[X2 ].

(f) Find V ar[X].

Expert Solution

When we throw three coins together then the sample space is given by

orchestra answered 2 years ago

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