Question

QUESTION 1 A firm employing 100 workers has an average absenteeism rate of 4%. On a given day, what is the probability of a. No workers being absent? b. More than two workers being absent? QUESTION 2 A call center of a bank receives, on average, 6 calls per hour and number of calls follows a Poisson distribution. Determine the probability of exactly 5 calls in an hour. QUESTION 3 It is well known that 5 cars per hour arrive at the maintenance service of an automobile company (the average time between arrivals would be 1/5 hour with this information.) What is the probability that the average time between the arrivals is less than 1/6 in an hour? QUESTION 4 An automobile company has installed an enterprise resource planning (ERP) system to better manage the firm's supply chain. The human resource department has been instructed to develop a training programme for the employees to fully understand how the new system functions. This training programme has a fixed lecture period and at the end of the programme there is a self-paced on-line practical examination that the participants have to pass before they are considered competent with the new ERP system. If they fail the examination, they are able to retake it as many times as they wish in order to pass. When the employee passes the examination they are considered competent with the ERP system and they immediately receive a 2% salary increase. During the last several months, average completion of the programme, which includes passing the examination, has been 56 days, with a standard deviation of 14 days. The time taken to pass the examination is considered to follow a normal distribution. a. What is the probability that an employee will successfully complete the programme between 40 and 51 days? b. What is the probability an employee will successfully complete programme in 35 days or less? c. What is the combined probability that an employee will successfully complete the programme in no more than 34 days or more than 84 days? d. What is the probability that an employee will take at least 75 days to complete the training programme? e. What are the upper and lower limits in days within which 80% of the employees will successfully complete the programme?

QUESTION 1
A firm employing 100 workers has an average absenteeism rate of 4%. On a given day, what is the
probability of
a. No workers being absent?
b. More than two workers being absent?
QUESTION 2
A call center of a bank receives, on average, 6 calls per hour and number of calls follows a Poisson
distribution. Determine the probability of exactly 5 calls in an hour.
QUESTION 3
It is well known that 5 cars per hour arrive at the maintenance service of an automobile company (the
average time between arrivals would be 1/5 hour with this information.) What is the probability that the
average time between the arrivals is less than 1/6 in an hour?
QUESTION 4
An automobile company has installed an enterprise resource planning (ERP) system to better manage the
firm's supply chain. The human resource department has been instructed to develop a training programme
for the employees to fully understand how the new system functions. This training programme has a fixed
lecture period and at the end of the programme there is a self-paced on-line practical examination that the
participants have to pass before they are considered competent with the new ERP system. If they fail the
examination, they are able to retake it as many times as they wish in order to pass. When the employee
passes the examination they are considered competent with the ERP system and they immediately receive
a 2% salary increase. During the last several months, average completion of the programme, which includes
passing the examination, has been 56 days, with a standard deviation of 14 days. The time taken to pass
the examination is considered to follow a normal distribution.
a. What is the probability that an employee will successfully complete the programme
between 40 and 51 days?
b. What is the probability an employee will successfully complete programme in 35 days or
less?
c. What is the combined probability that an employee will successfully complete the
programme in no more than 34 days or more than 84 days?
d. What is the probability that an employee will take at least 75 days to complete the training
programme?
e. What are the upper and lower limits in days within which 80% of the employees will
successfully complete the programme?

Added by Mark P.

Question

Please give Ace some feedback