[All Steps] Scores on a freshman mathematics exam are described by the pdf f(x)=6x(1-x), 0≤ x≤ 1, where X represents the proportion of questions a
Question: Scores on a freshman mathematics exam are described by the pdf \[f(x)=6x(1-x),\] \[0\le x\le 1,\] where X represents the proportion of questions a student answers correctly. Any score X below 0.40 is a failing mark.
- What is the probability that a student fails?
- If six students take the exam, what is the probability that exactly two fail?
Deliverable: Word Document 
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