Quantitative Analysis
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
(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

probability that none of them are left-handed,

probability that at most 2 are left-handed,

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:

will secure Project A or B but not both

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.
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