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Page 5 4. Let X be a random variable that follows a normal distribution with a mean of 7 and a standard deviation of 3.

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Page 5 4. Let X be a random variable that follows a normal distribution with a mean of 7 and a standard deviation of 3. Let Y be a random variable that follows a normal distribution with a mean of 5 and a standard deviation of 4. Assume X and Y are independent. (a) Find c such that P[X > c] = 0.0618 (a) [5 pts]. (b) Calculate P[2X - 2Y s 16]. (b) [5 pts]

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