Consider a random experiment of throwing three perfectly balanced and identical coins. Suppose that for each toss that comes up heads we win $3, but for each toss that comes up tails we lose $4. Clearly, a quantity of interest in this situation is our total wining. Let X denote this quantity. (n) What are the vilues that the random variable X takes? (b) Find P(X = 9). (e) Find P(X =-5).

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Consider a random experiment of throwing three perfectly balanced
and identical coins. Suppose that for each toss that comes up heads we win $3, but for each
toss that comes up tails we lose $4. Clearly, a quantity of interest in this situation is our
total wining. Let X denote this quantity.
(a) What are the values that the random variable X takes?
(b) Find P(X = 9).
(c) Find P(X = -5).
(d) Find P(X = 2).
(e) Find P(X = -12).
(f) Find P(X = 3).
(g) Find P(X =-1).
Transcribed Image Text:Consider a random experiment of throwing three perfectly balanced and identical coins. Suppose that for each toss that comes up heads we win $3, but for each toss that comes up tails we lose $4. Clearly, a quantity of interest in this situation is our total wining. Let X denote this quantity. (a) What are the values that the random variable X takes? (b) Find P(X = 9). (c) Find P(X = -5). (d) Find P(X = 2). (e) Find P(X = -12). (f) Find P(X = 3). (g) Find P(X =-1).
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