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P2 Q7
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Binomial
14 P2 Q7
2014 H2 Mathematics Paper 2 Question 7
The Binomial Distribution
Answers
(i)
0.155
{0.155}
0.155
(ii)
Out of syllabus
(iii)
Out of syllabus
Full solutions
(i)
Let
X
{X}
X
denote the r.v. of the number of times the fair die shows a
6
{6}
6
out of
10
{10}
10
rolls
X
∼
B
(
10
,
1
6
)
X \sim \textrm{B}\left(10, \frac{1}{6}\right)
X
∼
B
(
10
,
6
1
)
P
(
X
=
3
)
=
0.155
(3 sf)
■
\begin{align*} \mathrm{P}(X=3) &= 0.155 \textrm{ (3 sf)} \; \blacksquare \end{align*}
P
(
X
=
3
)
=
0.155
(3 sf)
■
(ii)
Out of syllabus
(iii)
Out of syllabus
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