,2
Do not write
outside the
G/Jun25/7367/3S
,3
Do not write
outside the
Turn over U
G/Jun25/7367/3S
, 4
4
{
The continuous random variable X has cumulative distribution function
0
sin 3x
x<0
0x
π
Do not write
outside the
box
F(x) = 6
π
1 x
6
4 (a) Find P(0.1 < X < 0.3)
Give your answer to three decimal places.
[2 marks]
4 (b) Show that the median of X is equal to
π
18
[2 marks]
G/Jun25/7367/3S
Do not write
outside the
G/Jun25/7367/3S
,3
Do not write
outside the
Turn over U
G/Jun25/7367/3S
, 4
4
{
The continuous random variable X has cumulative distribution function
0
sin 3x
x<0
0x
π
Do not write
outside the
box
F(x) = 6
π
1 x
6
4 (a) Find P(0.1 < X < 0.3)
Give your answer to three decimal places.
[2 marks]
4 (b) Show that the median of X is equal to
π
18
[2 marks]
G/Jun25/7367/3S
