Normal Distribution: Probability in a given range
These lessons, with videos, examples, solutions and worksheets, are suitable for A Level Maths to help students learn how to work out a probability in a given range.
Related Pages
Normal Distribution
Standard Deviation
Theoretical vs. Experimental Probability
More Lessons On Probability
A Level Maths
Math Worksheets
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.
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