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2.4.1 Discrete distributions and the binomial

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Question 12

The discrete random variable $X\,$ has the probability distribution given in the first table below, where $a\,$ and $b\,$ are constants.

$x$	0	1	2	3
$P (X = x)$	0.15	$a$	0.28	$b$

The cumulative distribution function of $X\,$ is given in the second table below, where $d\,$ and $e\,$ are constants.

$x$	0	1	2	3
$F (x)$	0.15	0.47	$d$	$e$

Find the value of $a$ .

[1]

Find the value of $d$ .

[1]

Write down the value of $e$ .

[1]

Find the value of $b$ .

[2]

Markscheme

2.4.1 Discrete distributions and the binomial Questions

A Level
Maths
2.4.1 Discrete distributions and the binomial

39 exam-style questions on AQA A Level Maths 2.4.1 Discrete distributions and the binomial. Each one has a worked solution and a mark scheme showing where the marks go.

2.4.1 Discrete distributions and the binomial

Question bank

2.4.1 Discrete distributions and the binomial

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

Question 12

The discrete random variable $X\,$ has the probability distribution given in the first table below, where $a\,$ and $b\,$ are constants.

$x$	0	1	2	3
$P (X = x)$	0.15	$a$	0.28	$b$

The cumulative distribution function of $X\,$ is given in the second table below, where $d\,$ and $e\,$ are constants.

$x$	0	1	2	3
$F (x)$	0.15	0.47	$d$	$e$

Find the value of $a$ .

[1]

Find the value of $d$ .

[1]

Write down the value of $e$ .

[1]

Find the value of $b$ .

[2]

Markscheme

2.4.1 Discrete distributions and the binomial Questions

A Level
Maths
2.4.1 Discrete distributions and the binomial

39 exam-style questions on AQA A Level Maths 2.4.1 Discrete distributions and the binomial. Each one has a worked solution and a mark scheme showing where the marks go.