Download and practise with this ZIMSEC A-Level Statistics Paper 4 June 2009 question paper. Useful for exam revision, past paper practice, and preparation in Zimbabwe.
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This is the ZIMSEC A-Level Statistics question paper for Paper 4 from June 2009. Use it for exam practice under timed conditions.
2
Najth
Section (a): Statistics
(a) An experiment has only two possible outcomes. The first outcome occurs with probability $p$ and the second outcome with probability $p^{2}$. Find the value of $p$ correct to 3 decimal places.
[3]
(b) A survey in a city showed that the probability that a person is in favour of capital punishment is 0.55 and that the person is against it is 0.45 . If two persons are selected at random, find the probability that at least one of them favours capital punishment.
[3]
2
(i) Show that $f(x)=\frac{1}{28}(6 x-4), 2 \leq x \leq 4$, is a probability drisity function for the continuous random variable $X$.
[2]
(ii) Find $E(X)$.
[3]
(3) The table below shows masses of 200 students measured to the nearest kg .
Mass( kg) | Number of students
46-50 | 20
51--55 | 60
56-60 | 56
61-65 | 35
66-70 | 19
71~75 | 10
(i) Construct the cumplative frequency distribution table for the masses of these students and draw the cumulative frequency curve.
[5]
(ii) Use your curve to estimate
(a) the interquartile range,
[3]
(b) the percentage of students with a mass of 54 kg or less.
[1]