1. At a carnival, you come across a booth called The Hat Game. The prizes in...

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1. At a carnival, you come across a booth called "The Hat Game". The prizes in the hat are labeled $1, 52, and $4, with probabilities of 0.5, 0.4, and 0.1, respectively. Suppose drawing a slip from the hat is represented by the random variable X, which follows the probability distribution shown below: Hax X P(X) P$1.70 P(X+X) Hx-x $1 0.5 P(2X) 2. The carnival puts on a special deal: for the next 20 minutes, all prizes are DOUBLED! 2X Ox-$0.90 0₂x $2 0.4 Ox+x $4 0.1 ox$0.81 3. Suppose you decide to play two games instead of one, with each drawing being worth the regular winnings. a. List the value and probability of each possible drawing of 2 slips. Assume slips are drawn with replacement and are thus independent 0²2x b. Use what you calculated in Part A to make a table of the probability distribution X+X ox.x. 1. At a carnival, you come across a booth called "The Hat Game". The prizes in the hat are labeled $1, 52, and $4, with probabilities of 0.5, 0.4, and 0.1, respectively. Suppose drawing a slip from the hat is represented by the random variable X, which follows the probability distribution shown below: Hax X P(X) P$1.70 P(X+X) Hx-x $1 0.5 P(2X) 2. The carnival puts on a special deal: for the next 20 minutes, all prizes are DOUBLED! 2X Ox-$0.90 0₂x $2 0.4 Ox+x $4 0.1 ox$0.81 3. Suppose you decide to play two games instead of one, with each drawing being worth the regular winnings. a. List the value and probability of each possible drawing of 2 slips. Assume slips are drawn with replacement and are thus independent 0²2x b. Use what you calculated in Part A to make a table of the probability distribution X+X ox.x.

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a When playing two games each drawing being worth the regular winnings we can list ... View the full answer