Suppose that the distribution of systolic blood pressure X among people suffering from hypertension is N(153,42). Further, suppose that researchers have found a new treatment that drops systolic blood pressure by 4 points on average. The effect of drug Y varies among patients randomly and does not depend on their current blood pressure level. 1) If the variance of Y is 1, what is the mean and variance of systolic blood pressure if every person in the population starts using the drug? 2) What is the distribution of systolic blood pressure in this case if Y has a normal distribution?

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