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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.

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.

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