Say you have a biased coin and you associate obtaining a head with the value 0 whereas obtaining a tail has a value of 2. Let X be the sum of the values obtained from tossing the coin three times. (Round your answers to 4 decimal places, if needed.) (a) If the probability of getting heads in a single toss is 0.24, then what is the probability distribution of X ? x 0 2 4 6 P(X = x) (b) What is P(X < 6)? (c) What is P(1 < X < 5)?

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