Statistics for Engineering: Questions Paper
CONFIDENTIAL
CS/JAN 2012/QMT500
UNIVERSITI TEKNOLOGI MARA FINAL EXAMINATION
COURSE COURSE CODE EXAMINATION TIME
STATISTICS FOR ENGINEERING QMT500 JANUARY 2012 3 HOURS
INSTRUCTIONS TO CANDIDATES 1. This question paper consists of five (5) questions.
2.
Answer ALL questions in the Answer Booklet. Start each answer on a new page. Do not bring any material into the examination room unless permission is given by the invigilator. Please check to make sure that this examination pack consists of: i) ii) iii) iv) the Question Paper a two - page Appendix 1 (Key Formulas) an Answer Booklet - provided by the Faculty Statistical Table - provided by the Faculty
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
This examination paper consists of 6 printed pages
© Hak Cipta Universiti Teknologi MARA CONFIDENTIAL
CONFIDENTIAL QUESTION 1
2
CS/JAN 2012/QMT500
a)
Suppose past experience has shown that the likelihood of a personal computer is upgraded within one year of purchase is 0.25. i) If twenty personal computers are randomly selected, what is the probability that at most five of the personal computers are upgraded? How many upgraded personal computers would you expect if 60 personal computers are selected at random and what is the standard deviation? (4 marks)
ii)
b)
Suppose that the number of flaws in sheets of anodized steel follows a Poisson distribution with an average of two flaws in a 20 square meter area. i) What is the probability that there will be less than one flaw in a ten square meter area? What is the probability that there will be at least five flaws in a sheet of anodized steel measured 5 meter x 20 meter? If six sheets of anodized steel, each having ten square meter area, are selected, what is the probability that exactly two sheets will have less than one flaw? (6 marks)
ii)
iii)
c)
A manufacturer claims that the average capacity for a certain type of battery is 140 ampere-hours. An independent
CS/JAN 2012/QMT500
UNIVERSITI TEKNOLOGI MARA FINAL EXAMINATION
COURSE COURSE CODE EXAMINATION TIME
STATISTICS FOR ENGINEERING QMT500 JANUARY 2012 3 HOURS
INSTRUCTIONS TO CANDIDATES 1. This question paper consists of five (5) questions.
2.
Answer ALL questions in the Answer Booklet. Start each answer on a new page. Do not bring any material into the examination room unless permission is given by the invigilator. Please check to make sure that this examination pack consists of: i) ii) iii) iv) the Question Paper a two - page Appendix 1 (Key Formulas) an Answer Booklet - provided by the Faculty Statistical Table - provided by the Faculty
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
This examination paper consists of 6 printed pages
© Hak Cipta Universiti Teknologi MARA CONFIDENTIAL
CONFIDENTIAL QUESTION 1
2
CS/JAN 2012/QMT500
a)
Suppose past experience has shown that the likelihood of a personal computer is upgraded within one year of purchase is 0.25. i) If twenty personal computers are randomly selected, what is the probability that at most five of the personal computers are upgraded? How many upgraded personal computers would you expect if 60 personal computers are selected at random and what is the standard deviation? (4 marks)
ii)
b)
Suppose that the number of flaws in sheets of anodized steel follows a Poisson distribution with an average of two flaws in a 20 square meter area. i) What is the probability that there will be less than one flaw in a ten square meter area? What is the probability that there will be at least five flaws in a sheet of anodized steel measured 5 meter x 20 meter? If six sheets of anodized steel, each having ten square meter area, are selected, what is the probability that exactly two sheets will have less than one flaw? (6 marks)
ii)
iii)
c)
A manufacturer claims that the average capacity for a certain type of battery is 140 ampere-hours. An independent