Probability Distributions (Edexcel A Level Maths: Statistics)

Exam Questions

3 hours26 questions

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3 marks

The discrete random variable, X, is defined as the number of sixes obtained from rolling two fair dice.

(i)

Find the probability of obtaining two sixes from rolling two fair dice.

(ii)

Complete the following probability distribution table for X:

$x$	0	1	2
$P (X = x)$	$\frac{25}{36}$

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2 marks

Use the table, or otherwise, to find the probability of obtaining at least one six from rolling two fair dice.

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$x$	2	4	6	8	10
$P (X = x)$	$\frac{2}{5}$	$\frac{1}{10}$	$\frac{1}{5}$	$p$	$\frac{1}{10}$

$x$	1	2	3	4	5
$P (X = x)$	$\frac{5}{12}$	$\frac{2}{12}$	$\frac{1}{12}$	$\frac{3}{12}$	$\frac{1}{12}$

$x$	-2	-1	0	1	2
$P (X = x)$	$\frac{1}{5}$	$\frac{2}{5}$	$\frac{3}{5}$	$\frac{4}{5}$	$\frac{5}{5}$

$x$	-2	-1	0	1	2
$P (X = x)$	$\frac{1}{5}$	$\frac{1}{5}$

x	0	1	2	3	4
P(X = x)	$\frac{5}{24}$	$\frac{1}{3}$	$\frac{1}{4}$	$\frac{1}{12}$	$\frac{1}{8}$

Probability Distributions (Edexcel A Level Maths: Statistics)

Exam Questions

1. Statistical Sampling

1.1 Sampling & Data Collection

2. Data Presentation & Interpretation

2.1 Statistical Measures

2.2 Data Presentation

2.3 Working with Data

2.4 Correlation & Regression

2.5 Further Correlation & Regression (A Level only)

3. Probability

3.1 Basic Probability

3.2 Further Probability (A Level only)

4. Statistical Distributions

4.1 Probability Distributions

4.2 Binomial Distribution

4.3 Normal Distribution (A Level only)

4.4 Choosing Distributions (A Level only)

5. Hypothesis Testing

5.1 Hypothesis Testing

5.2 Hypothesis Testing (Binomial Distribution)

5.3 Hypothesis Testing (Normal Distribution) (A Level only)

number on sector	0	1	1	2	3	5
probability	$\frac{6}{20}$	$p$	$\frac{3}{20}$	$\frac{5}{20}$	$\frac{3}{20}$	$\frac{1}{20}$

x	0	1	2	3
P(X=x)

Score $x$	0	1	2	3	5
$P (X \leq x)$	$\frac{6}{20}$				1

$y$	-2	0	1	2	3	4
$P (Y = y)$