There are 300 students at a music college. All students play exactly one of the guitar, the piano or the flute. The numbers of male and female students that play each of the instruments are given in the following table. Guitar Piano Flute --- --- --- --- Female students 62 35 43 Male students 78 40 42 (i) Find the probability that a randomly chosen student at the college is a male who does not play the piano. (ii) Determine whether the events ‘a randomly chosen student is…

Mathematics 9709/63 — October/November 2019

Cambridge A-Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

questions

marks

minutes

Topics Probability · Permutations and Combinations · The Normal Distribution · Discrete Random Variables · Representation of Data

Q1ProbabilityFree sample

There are 300 students at a music college. All students play exactly one of the guitar, the piano or the flute. The numbers of male and female students that play each of the instruments are given in the following table.

	Guitar	Piano	Flute
Female students	62	35	43
Male students	78	40	42

(i)

Find the probability that a randomly chosen student at the college is a male who does not play the piano.

(ii)

Determine whether the events ‘a randomly chosen student is male’ and ‘a randomly chosen student does not play the piano’ are independent, justifying your answer.

The rest of this paper

6 more questions

Q2Permutations and Combinations5M
Q3Permutations and Combinations6M
Q4The Normal Distribution7M
Q5Representation of Data9M
Q6Probability · Discrete Random Variables10M
Q7Discrete Random Variables · Probability · The Normal Distribution10M

Loading the full paper…