Question

The weekly demand for propane (in 1000's of gallons) from a particular facility is a rv X with the following pdf.

The weekly demand for propane (in 1000's of gallons) from a particular facility is a rv X with the following pdf. f(x) = { 4.(-) 15:52 otherwise (a) Compute the cdf of X (b) What is the value of u? (Give answer to 3 decimal places.) 1.640 X (c) Compute E(X) and V(X). (Glve answers to 3 decimal places.) F(X) = 1.614 V(X) = .055 (d) If 1.5 thousand gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the 1.5 thousand gallons is expected to be left at the end of the week? (Hint: Let h(x) = amount left when demand = x.] (Glve answer to 3 decimal places.) - 114

Answer 1

Anscoes 2メ221, cold ftx)= edlya otheroise A42 O E(x) P(xx) a CDF of X 4 34 dt cON2 138 29いこ-だこぶPEC にト a ろt+ t -4 3xt F)= 2 X400 indhud 1 3ス+ 9 -コ役ニR o d tonata 1 ead 1 3*+4-3 PX )3-(9 +E)x +4 =0 (atP)-4(4) (3) 203) p (+P) 22 ar o tinl: P-/ 4 lE186928

E (x)= 3x-4 2 2 drs E(x) -C s-)) =(0) Vartx) Elx) -(E(x)) 2.98395 t.5 - E(x)1.5-1.3234 Eb O.2234l k0 tlenec the cxpected demand is morc tban tle amoInt tn stock Eioalty tank coitl be get empty by end of coeek.