Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
A music college has 300 students. Every student plays exactly one instrument: the guitar, the piano or the flute. The numbers of male and female students who play each instrument are shown in the table below: Female students: Guitar 62, Piano 35, Flute 43; Male students: Guitar 78, Piano 40, Flute 42.
(i)[1]
Find the probability that a student chosen at random from the college is male and does not play the piano.
(ii)[2]
Decide whether the events ‘a student chosen at random is male’ and ‘a student chosen at random does not play the piano’ are independent, with reasons for your answer.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct probability is \(\frac{120}{300} = 0.4\)” …