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True or False. Indicate whether the following statements are True or False. Explain your answers for...

True or False. Indicate whether the following statements are True or False. Explain your answers for full credits. (3 points each)

a. If X is a discrete random variable, then the expected value of X^2 is ?(?^2) = ∑(xi)X(i)^2?(?(i))^2.

b. Historically, 15% of the chips manufactured in a computer company are defective. If I randomly select a sample of 10 chips from this computer company, the probability that the sample contains exactly one defect is 0.15.

c. The chance of winning is 0.49 when a bet is placed on Red in a Roulette game. If 10 bets are placed on Red, the probability of having 3 wins out of the 10 bets is 0.49×0.49×0.49.

d. Poisson random variable is an example of continuous random variables.

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