Question

Problem 5 R point nonce complex o' 1130 yees, on any gven day some are at work and the rest v" aboer, it is known that ส an employee atwork today, no" s an. 70% owcehat she wil employee is absent today, Pere is a 55%chancerat she w be abeert tomorrow. Sppose rat today twe Me 847employees at wo be at work onorrow, and -l n) Find the transition matrix for this scenario (sssume that state 1 is "a work and stale 2is "absent 制Predct the mrter that will be at work tvedynom now. 。) Findthe steady-state voco. Note that the sum ofthe entries must be the total mmber of amployees, but make sn tat y ur aswers are oomoct to at least ldecimal place) Note: u ean eam partial eile en tws preblem Problem 5 (2 points) In an office complex of 1130 employees, employee is at work today, there is an 76% chance that she will be at work tomorrow, and if the employee is absent today, there is a 55% chance that she will be absent tomorrow. Suppose that today there are 847 employees at work. Find the transition matrix for this scenario (assume that state 1 is at work' and state 2 is 'absent). on any given day some are at work and the rest are absent. It is known that if an (b) Predict the number that will be at work five days from now. (c) Find the steady-state vector. (Note that the sum of the entries must be the total number of employees, but make sure that your answers are correct to at least 1 decimal place.) Note: You can earn partial credit on this problem. preiew answers Jump to Problem:[ 1 2 3451 Grade Test Preview Test

Answer 1

0.29 0.55 State 2 and

Dale di 0- 16 0 24 0-45 0, 5 S =[0.76 0.2-Y

0745-073 2 to, 6056 0,31491 0,5315] 0:662.5 =[0.6532 0.3968 Carmo 56 3 1 2 60 y 553

S-sats 壬ー丹ㄧ θ 01-10:16 0:29

02 I1 : 24 45 2.4