Pearson Edexcel GCE Further Mathematics Advanced Subsidiary Level in
Further Statistics 2 Paper( 8FM0)_24 QP & MS JUNE 2024
, Afternoon
Further Mathematics ■ ■
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
Turn over
.
P75674A
©2024 Pearson Education Ltd.
F:1/1/1/
, 1. A continuous random variable X has cumulative distribution function F(x) given by
DO NOT WRITE IN THIS AREA
0 x < −1
1
5 (x + 1) −1
2
x 0
F(x) = 1
1− (4 − x)2 0<x 4
20
1 x>4
(a) Find the probability density function, f(x)
(2)
(b) (i) Sketch f(x)
(2)
(ii) Hence describe the skewness of the distribution.
(1)
(c) Find, to 3 significant figures, the value of c such that
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P(1 < X < c) = P(c < X < 2)
(3)
DO NOT WRITE IN THIS AREA
2
■■■■
Further Statistics 2 Paper( 8FM0)_24 QP & MS JUNE 2024
, Afternoon
Further Mathematics ■ ■
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
Turn over
.
P75674A
©2024 Pearson Education Ltd.
F:1/1/1/
, 1. A continuous random variable X has cumulative distribution function F(x) given by
DO NOT WRITE IN THIS AREA
0 x < −1
1
5 (x + 1) −1
2
x 0
F(x) = 1
1− (4 − x)2 0<x 4
20
1 x>4
(a) Find the probability density function, f(x)
(2)
(b) (i) Sketch f(x)
(2)
(ii) Hence describe the skewness of the distribution.
(1)
(c) Find, to 3 significant figures, the value of c such that
DO NOT WRITE IN THIS AREA
P(1 < X < c) = P(c < X < 2)
(3)
DO NOT WRITE IN THIS AREA
2
■■■■
