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This is the A-Level Statistics question paper for Paper 2. Use it for exam practice under timed conditions.
1. A continuous random vainable, $x$ has a pribability denisity function defined as
\[
S(x)=\left\{\begin{array}{ll}
0,1 x+k, | 4<x \leqslant 6
0,3, | 6 \leqslant x \leqslant 8
0 . | \text { Aherwise }
\end{array}\right.
\]
Find
(a) The value of comatine $k$
(b) $P(s \leqslant x \leqslant 7)$
2 The marks obtained by condedates in a mathematios examination vere displayed of follows.
1 | 3 | & | &
2 | 6 | & | &
3 | 1 | & | &
4 | 1 | 3 | & |
5 | 0 | 2 | 6 | 8 |
6 | 1 | 2 | 2 | 2 | 7
7 | 0 | 3 | 4 | 5 | 5
8 | 0 | 3 | 4 | 4 | 8
9 | 2 | 778 |
9 | & | &
Key 4/1 means 4
Q(i) state the name given to the display. display. (1)
iii) Calculate the range of the marks.
(1)