Question

a machining company employs two operators---Mark and Daniel to man its machine (lathes). In a given...

a machining company employs two operators---Mark and Daniel to man its machine (lathes). In a given work day, Mark has probability of 0.1 of being absent, while daniel, a new employee has 0.12. If Mark is absent, Daniel has a probability of 0.3 of being absent too.

A. What is the probability that Mark's first absent during the month occurs on or before the month's 5th work day?
B. What is the probability that daniel's second absence will happen on or after the 13th workday of his employment?
C. Find the probability that both are simultaneously absent in exactly one day in a 20 work-day month?

Homework Answers

Answer #1

a) probability that Mark's first absent during the month occurs on or before the month's 5th work day =1-P(not absent in first 5 days)=1-(1-0.1)5 =0.40951

b)

probability that daniel's second absence will happen on or after the 13th workday of his employment =P(at most 1 absence in first 12 days) =P(X=0)+P(X=1)

=(12C0)*(0.12)0(0.88)12+(12C1)*(0.12)1(0.88)11=0.5686

c)

probability that they both are simultaneously absent =0.1*0.3 =0.03

probability that both are simultaneously absent in exactly one day in a 20 work-day month

=(20C1)*(0.03)1(0.97)19 =0.3364

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Scenario Pigs R Us is a second generation, family-owned Richmond-based company with about 400 employees. It...
Scenario Pigs R Us is a second generation, family-owned Richmond-based company with about 400 employees. It slaughters, manufactures, and sells pork food products.  Pigs R Us (PRU) is a low-tech, hands-on, “bricks and mortar” type of company with solid brand recognition, an impeccable reputation for high quality and ethical standards. The processes used in manufacturing are with the highest ISO20002 standards, and the plant is maintained immaculately. The personnel are comprised of an older work force (average employee age is late...
Scenario Pigs R Us is a second generation, family-owned Richmond-based company with about 400 employees. It...
Scenario Pigs R Us is a second generation, family-owned Richmond-based company with about 400 employees. It slaughters, manufactures, and sells pork food products.  Pigs R Us (PRU) is a low-tech, hands-on, “bricks and mortar” type of company with solid brand recognition, an impeccable reputation for high quality and ethical standards. The processes used in manufacturing are with the highest ISO20002 standards, and the plant is maintained immaculately. The personnel are comprised of an older work force (average employee age is late...
What tools could AA leaders have used to increase their awareness of internal and external issues?...
What tools could AA leaders have used to increase their awareness of internal and external issues? ???ALASKA AIRLINES: NAVIGATING CHANGE In the autumn of 2007, Alaska Airlines executives adjourned at the end of a long and stressful day in the midst of a multi-day strategic planning session. Most headed outside to relax, unwind and enjoy a bonfire on the shore of Semiahmoo Spit, outside the meeting venue in Blaine, a seaport town in northwest Washington state. Meanwhile, several members of...
Using the model proposed by Lafley and Charan, analyze how Apigee was able to drive innovation....
Using the model proposed by Lafley and Charan, analyze how Apigee was able to drive innovation. case:    W17400 APIGEE: PEOPLE MANAGEMENT PRACTICES AND THE CHALLENGE OF GROWTH Ranjeet Nambudiri, S. Ramnarayan, and Catherine Xavier wrote this case solely to provide material for class discussion. The authors do not intend to illustrate either effective or ineffective handling of a managerial situation. The authors may have disguised certain names and other identifying information to protect confidentiality. This publication may not be...