The hospital period, in days, for patients following treatment for a certain type of kidney disorder is a random variable Y = X + 4, where X has the density function(a) Find the probability density function of the random variable Y.(b) Using the density function of Y, find the probability that the hospital period for a patient following this treatment will exceed 8days.

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32 (2+4)3. > 0, 0, fix.): elsewhere.