Let X be the continuous random variable which is the age of a first-year university student selected at random. Based on the information above, the pdf of X is given by: x 17–18 18–19 19–20 20–21 21–22 f(x) 0.1 0.45 0.3 0.1 0.05 (a) [2 marks] Draw a graph of the cdf of X (b) [2 marks] Find the mean of X. (c) [2 marks] Find the median of X

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Let X be the continuous random variable which is the age of a first-year university student
selected at random. Based on the information above, the pdf of X is given by:
x 17–18 18–19 19–20 20–21 21–22
f(x) 0.1 0.45 0.3 0.1 0.05


(a) [2 marks] Draw a graph of the cdf of X

(b) [2 marks] Find the mean of X.

(c) [2 marks] Find the median of X

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