# Assignment Questions

Assignment Questions (Show working clearly for question 1 and 2, not only answers)

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. (4 marks)

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. (3 marks)

(ii) Determine the shape of the distribution based on the sample data. Explain your conclusion. (2 marks)

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, (2 marks)

ii. probability that at most 2 are left-handed, (3 marks)

iii. standard deviation for the number of left-handed students (2 marks)

(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? (3 marks)

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