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A probability distribution of the number of courses taken by all CB final year students is given in the table below: Number of Courses 1

A probability distribution of the number of courses taken by all CB final year students is given in the table below: Number of Courses 1 2 3 4 5 6 7 Probability 0.02 0.08 0.05 0.15 0.43 0.24 0.03 (a) Determine the five number summary and comment on the shape of this distribution. (6 marks) (b) Are there any outliers in this distribution? (4 marks) (c) What percentage of the students takes within one standard deviation of the mean number of courses? (7 marks)

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