In this lesson, we will learn how to apply the normal distribution in real-life situations.

Students will be able to

Q1:

A crop of apples has a mean weight of 105 g and a standard deviation of 3 g. It is assumed that a normal distribution is an appropriate model for this data. What is the approximate probability that a randomly selected apple from the crop has a weight less than 105 g?

Q2:

A crop of apples has a mean weight of 105 g and a standard deviation of 3 g. It is assumed that a normal distribution is an appropriate model for this data. What is the approximate probability that a randomly selected apple from the crop has a weight greater than 111 g?

Q3:

The masses of a population of blackbirds are normally distributed with mean 103 g and standard deviation 11 g.

To the nearest integer, what percentage of blackbirds have masses less than 110 g?

To the nearest tenth, what percentage of blackbirds have masses greater than 124 g?

To the nearest integer, what percentage of blackbirds have masses between 95 g and 120 g?

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