Question

• Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied according to the following pdf: f(x) = { 12 17 0 :-3 < x <5 : otherwise Answer with a rational or Decimal 0.1234 a) Calculate E(X) b) What is [X<2|X>- 1] ? c) What is P[ -1 <x< 3]?

Answer 1

Question Tre! 17 1 fra)= { 1-3 CX55 otherwise O (a) E(X)= fs. fru) dot = Sx. beld x.lul.de a 15.f4.121.d4+ 17 17 -3 -3 in je nydet fic) de pils")* #( [0+?]+ + [5] 125-27 51 98 51 = = 1.9216 = Auswer (6) P^{x<2/x>-1) = le {x<2)n(x>-1)] ha (x>-)) Pr(+1<x<2) le(x>-1)

2 2 = Low x) da FLI?)+ Kli) 12. PC12x-7)= [prender filosone Soul de insiden i Simone os seus de -(0-4) + +[+] - *** O - SEN Lith Idx=1- t Sexy dx 1963) = 1 + ()". [3) (1):1-4 1-6 P(x2-1) = 1-ki(xs-1)= 1- ffuda = 1 - לך -3 Putting values from and Bun Equo, we get, Pa (X<2/x>-1) (5)(17) (13) (34) (13) 34 5 26 = 0. 1923 = Answer

PC-LCX< 3) = (tware = f der Stadt = fex) dx + u) dre - -* (**) **[). (0-Ź] +ń [?] = a + 38 10 34 = =0.234/ 30 = 1 Answa