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A Level Maths

Math Worksheets

Examples, videos, solutions, activities and worksheets that are suitable for A Level Maths to help students learn how to work out a probability in a given range.

**Normal distribution: Finding the P(X less than x) x less than mean **

There are four tutorials in this series which show you how to work out a probability in a given range.

Example:

A light bulb has lifetimes which are distributed with a mean of 520 hours and a standard deviation of 6 hours. What is the probability of a light bulb lasting less than 511 hours?
**Normal distribution: Finding the P(X less than x) x more than mean**

Example:

A battery has lifetimes which are normally distributed with a mean of 62 hours and a standard deviation of 3 hours. What is the probability of a battery lasting less than 68 hours?

**Normal distribution: Finding the P(X less than x) x less than mean**

Example:

A carton of orange juice has a volume which is normally distributed with a mean of 120 ml and a standard deviation of 1.8 ml. Find the probability that the volume is more than 118 ml.
**Normal distribution: Finding the P(X more than x) x more than mean**

Example:

The mases of a well known brand of breakfast cereal are normally distributed with a mean of 250 g and a standard deviation of 4 g. Find the probability of a packet containing more than 254.4 g.

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.

A Level Maths

Math Worksheets

Examples, videos, solutions, activities and worksheets that are suitable for A Level Maths to help students learn how to work out a probability in a given range.

There are four tutorials in this series which show you how to work out a probability in a given range.

Example:

A light bulb has lifetimes which are distributed with a mean of 520 hours and a standard deviation of 6 hours. What is the probability of a light bulb lasting less than 511 hours?

Example:

A battery has lifetimes which are normally distributed with a mean of 62 hours and a standard deviation of 3 hours. What is the probability of a battery lasting less than 68 hours?

Example:

A carton of orange juice has a volume which is normally distributed with a mean of 120 ml and a standard deviation of 1.8 ml. Find the probability that the volume is more than 118 ml.

Example:

The mases of a well known brand of breakfast cereal are normally distributed with a mean of 250 g and a standard deviation of 4 g. Find the probability of a packet containing more than 254.4 g.

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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