Reference no: EM131117554

Instructions
1. Complete all the THREE questions
2. Your assignment may be hand-written or typed on A4 papers (with or without lines)
3. Do not need to copy the questions.
4. Include the ‘Assignment Coversheet cum Lecturer's Comment Form' at the front of your assignment.
5. On the ‘Given Name' section in the Coversheet, write done your FULL NAME as indicated in the class register
6. Submit your assignment to your tutor on the due date. No email submission is allowed.
7. This assignment does not require Turn-it-in submission and no submission through e-learn portal is available.
8. Please note the penalty for plagiarism and late submission stated in the Study Guide

Assignment Questions

Question 1

a) The following data represent the number of years patients survived after being diagnosed with terminal cancer:

0.4, 0.5, 0.6, 0.6, 0.6, 0.8, 0.8, 0.9, 0.9, 0.9,
1.2, 1.2, 1.3, 1.4, 2.1, 2.4, 2.5, 4.0, 4.5, 4.6

(i) Construct a stem-and-leaf display (6 marks)

(ii) Supposedly you are inserting the above stem-and-leaf display in a report to be submitted to management, write a short comment on the diagram.

b) The following data shows the weight (in kg) of 13 crabs found in a restaurant on a particular evening:

3.4 1.2 1.7 2.4 2.4 1.1 0.9 0.8 1.2 1.6 0.7 1.2 1.3

(i) Compute the mean and median.

(ii) Determine the shape of the distribution based on the sample data. Explain your conclusion.

Question 2

(a) It is noted that 8% of Kaplan students are left handed. If 20 (TWENTY) students are randomly selected, calculate the

i. probability that none of them are left-handed,
ii. probability that at most 2 are left-handed,
iii. standard deviation for the number of left-handed students

(b) If 50 (FIFTY) classes of 20 (TWENTY) students are randomly selected, what is the probability that 10 (TEN) classes have no left-handed students?

Question 3

(a) Superior Construction Pte Ltd is a successful company dealing with many major projects in Singapore. Recently, it has submitted its biddings for two major Government projects. Project A worth about $120 million and the company believes it has 40% chance of securing the project.

Project B worth $1.8 billion and there is 30% chance the company can win the project. Both projects are independent of each other. What is the probability that the company:

i. will secure Project A or B but not both.
ii. will not secure Project A or will not secure Project B.

(b) Do you agree that "if two events are mutually exclusive then these two events will be independent"? Why?

(c) Provide one business-related example each, with explanation, for mutually exclusive and independent events.