Worksheet: Normal Distribution

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In this worksheet, we will practice performing calculations on data that is normally distributed and using these calculations to make predictions.

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:

For the normal distribution shown, approximately what percentage of data points lie in the shaded region?

Q3:

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?

Q4:

For the normal distribution shown, approximately what percent of data points lie in the shaded region?