4. (Sec. 4.2) The daily amount of water used (in 100s of gallons) at a particular household is a rv X with pdf J2(1- for 2 3 r-1)2 0 otherwise (a) Compute the cdf of X (b) Obtain an expression for the (100p)th percentile. What is the value of (c) Compute E(X) and V(X) (d) If 275 (2.75 hundred) gallons new water is allocated to that house throughout the day, how much of the 275 gallons is expected to be left at the end of the day? are allocated for this household at the beginning of the day and no

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