(A) Explain Why the Function Defined by the Graph Below $P ( x < 2 )$

question 58

Essay

(a) Explain why the function defined by the graph below is a probability density function. (b) Use the graph to find the following probabilities:
(i) $P ( x < 2 )$ (ii) $P ( 2 \leq x \leq 5 )$ (c) Calculate the median for this distribution.