Each year cch, inc., a firm that provides human resources and employment law information, conducts a survey on absenteeism in the workplace. the 2007 survey found that of all unscheduled work absences, 34% are due to "personal illness", 22% for "family issues", 18% for "personal needs", 13% for "entitlement mentality", and 13% due to "stress". consider a randomly selected employee who has an unscheduled work absence.

a) list the sample points for this experiment. there are 5 sample points in this experiment. personal illness, family issues, personal needs, entitlement mentality and stress.

b) assign reasonable probabilities to the sample points. personal illness (34/100), family issues (24/100), personal needs (18/100), entitlement mentality (13/100), stress (13/100).

c) what is the probability that the absence is due to something other than "personal illness"?

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e. g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.