1 answer

+ 2 A continuous random variable Y has moment generating function m(t) = e50t+251-72. Find (a)...

Question:

+ 2 A continuous random variable Y has moment generating function m(t) = e50t+251-72. Find (a) P(40 <Y < 45) (b) a value b su

+ 2 A continuous random variable Y has moment generating function m(t) = e50t+251-72. Find (a) P(40 <Y < 45) (b) a value b such that P(Y < b) = 0.975.

Answers

Sol 5ot dmlt) olt 5 o+5 x 9. (50+35) ME olt こ 50 anod d(in t) 51 + 35.8) 5ot+9Ss 11 + e 2 = 50) + 95 2525 1 then Var Cx)952P(z)PCI - o.8413 O9779 O1359 P(Y6) .975 P(Y-M EbN = 0.975 6-M o.975 Pl2b0) > 975 5 -50 -1.96 5 b50+9. 80 = 59.80

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