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

(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 NUS students are left handed. If twenty (20) 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. mean and standard deviation for the number of left-handed students

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

Why?

Provide one business-related example each, with explanation, for mutually exclusive and

independent events.

Subject | Mathematics |

Due By (Pacific Time) | 08/06/2014 12:00 am |

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