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1a) Let X and Y be independent random variables. Suppose X has variance 2 and let Y have variance 3. Find Var(2XY+1).Var(2XY+1). Please answer to

1a)

Let X and Y be independent random variables. Suppose X has variance 2 and let Y have variance 3. Find Var(2XY+1).Var(2XY+1). Please answer to 2 decimal places.

1b) Flaws in a carpet tend to occur randomly and independently at a rate of one every 250 square feet. What is the probability that a carpet that is 7 feet by 12 feet contains no flaws?

Probability =

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