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(a) (2 pts) A biased coin is tossed, and it is assumed the chance of getting a head, H, is i (Thus the chance of

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(a) (2 pts) A biased coin is tossed, and it is assumed the chance of getting a head, H, is i (Thus the chance of getting a tall, T, IS E). ConSJder a random experiment of throwmg the com FIVE times. Let S denote the sample space. Describe the elements of S. (b) ( 2 pts) Let X be the random variable that corresponds to the number of the heads coming up in 5 times of tossing. What are the values that the random variable X takes? (c) ( 2 pts) Find the probability that there is 3 tails and 2 heads, that is, P(X = 2)

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