Question

Question 4 The Ubeen the arrival of de messages in your computer is distruttamente har a) What is the probably that you do not receive a gering a tour 0.67 Round your destul places) by you have a message in the last four hours, what is the probably that you do not in the shows 4) What is the peace between your enth and this? hos Click you will to Show Werk for time By con you willen weten Pot Policy

Answer 1

Solution time blw the coolvoel of elecloonle messages. C Ret t domote the with Then X distribution mean has an exponential E(X)= $ +2 :21 $= =&=0.5 & Caimulative distributon of x is -da :1- e fca) = CX 58) a message during a two ho that a) The Doobability do not receive we - period is P(x>g) -(0.5)2 0 to I - PCX59) = 1 - f(2). |- | - e 0.3679 19 6) from definition of conditional poo bobility PCX >z+y1*32) . P (x >ety ,x 32) P(x>+9) PC*>«) PCX3x)

If we have Dot hod a megage in the last He ho, the poo Basilica that we do not receive a message in next q hos is P (x>6) PC x >4+2 ) *34) PCr>) I- P(756) 1-PCX54) 1- F(6) 1 - FCH) i-Ci-e -60.586) 1-61-2-(0589) - g -3+2 -) 0.8679 - 2 c) The & tpected time bllo any g consecutive message is mean of X ,'. E CM)=.