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More A-level Maths

Free Math Worksheets

**Constructing a Probability Distribution Table**

This video shows you how to construct a probability distribution table for a discrete random variable

Examples:

1. Construct a table showing the probability distribution for the score on the spinner.

2. Construct a table showing the probability distribution for the winnings when throwing a six sided fair die at a charity fete.**Probability from a Discrete Probability Distribution Table**

This video shows you how to calculate probabilities from a probability distribution table for a discrete random variable

Example:

If the random variable X has the following distribution

Find

P(X > 3)

P(X < 2.5)

P(X < 6)**Probability : Cumulative Distribution Function F(X)**

This tutorial shows you the meaning of this function and how to use it to calculate probabilities and construct a probability distribution table from it.

Example:

Cumulative Probability Function F(X)

F(x) = P(X) ≤ x)

If the random variable X has the following probability distribution the fimd F(3)

If F(1) = 0.2, F(2) = 0.9 and F(3) = 1 for a random variable X.

Construct a probability distribution table for X.

**A-Level Edexcel GCE Statistics S1 Advanced/Advanced Subsidiary**

January 2008 Q7 (Probability)

Question 7:

Tetrahedral dice have four faces. Two fair tetrahedral dice, one red and one blue, have faces numbered 0, 1, 2, and 3 respectively. The dice are rolled and the numbers face down on the two dice are recorded. The random variable R is the score on the red die and the random variable B is the score on the blue die.

(a) Find P(R=3 and B=0).

The random variable T is R multiplied by B.

(b) Complete the diagram to represent the sample space that shows all the possible

values of T.

(c) The table represents the probability distribution of the random variable T. Find the values of a, b, c and d.

Find the values of

(d) E(T),

(e) Var(T).

7(a) Probability.** 7(b)(c) Probability Distribution Table**
**7(d) Find E(X)**
**7(e) Find Var(X)**

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More A-level Maths

Free Math Worksheets

Videos, examples, solutions, activities and worksheets that are suitable for A Level Maths.

In this lesson, we will learn

- how to construct a probability distribution table for a discrete random variable
- how to calculate probabilities from a probability distribution table for a discrete random variable
- what is a cumulative distribution function and how to use it to calculate probabilities and construct a probability distribution table from it.

This video shows you how to construct a probability distribution table for a discrete random variable

Examples:

1. Construct a table showing the probability distribution for the score on the spinner.

2. Construct a table showing the probability distribution for the winnings when throwing a six sided fair die at a charity fete.

This video shows you how to calculate probabilities from a probability distribution table for a discrete random variable

Example:

If the random variable X has the following distribution

Find

P(X > 3)

P(X < 2.5)

P(X < 6)

This tutorial shows you the meaning of this function and how to use it to calculate probabilities and construct a probability distribution table from it.

Example:

Cumulative Probability Function F(X)

F(x) = P(X) ≤ x)

If the random variable X has the following probability distribution the fimd F(3)

If F(1) = 0.2, F(2) = 0.9 and F(3) = 1 for a random variable X.

Construct a probability distribution table for X.

January 2008 Q7 (Probability)

Question 7:

Tetrahedral dice have four faces. Two fair tetrahedral dice, one red and one blue, have faces numbered 0, 1, 2, and 3 respectively. The dice are rolled and the numbers face down on the two dice are recorded. The random variable R is the score on the red die and the random variable B is the score on the blue die.

(a) Find P(R=3 and B=0).

The random variable T is R multiplied by B.

(b) Complete the diagram to represent the sample space that shows all the possible

values of T.

(c) The table represents the probability distribution of the random variable T. Find the values of a, b, c and d.

Find the values of

(d) E(T),

(e) Var(T).

7(a) Probability.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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