Normal Distribution

Suppose X is normally distributed with mean 30 and standard deviation 5.

What value is 2 standard deviations above the mean?

Suppose X is normally distributed with mean 30 and standard deviation 5.

What value is 1 standard deviation below the mean?

Suppose X is normally distributed with mean 30 and standard deviation 5.

Describe the value below in terms of the number of standard deviations above or below the mean.

35

• 1 standard deviation above

• 1 standard deviation below

• 2 standard deviations above

• 2 standard deviations below

Suppose X is normally distributed with mean 30 and standard deviation 5.

Describe the value below in terms of the number of standard deviations above or below the mean.

20

• 1 standard deviation above

• 1 standard deviation below

• 2 standard deviations above

• 2 standard deviations below

Suppose X is normally distributed with mean 30 and standard deviation 5.

Describe the value below in terms of the number of standard deviations above or below the mean.

45

• 3 standard deviation above

• 3 standard deviation below

• 2 standard deviations above

• 2 standard deviations below

Suppose X is normally distributed with mean 30 and standard deviation 5.

Draw a curve to illustrate the distribution of X.

What proportion of values of X are between 25 and 30?

Suppose X is normally distributed with mean 30 and standard deviation 5.

Draw a curve to illustrate the distribution of X.

What proportion of values of X are between 20 and 40?

Suppose X is normally distributed with mean 30 and standard deviation 5.

Draw a curve to illustrate the distribution of X.

What proportion of values of X are between 40 and 45?

Suppose X is normally distributed with mean 30 and standard deviation 5.

Draw a curve to illustrate the distribution of X.

What is the probability that a randomly selected member of the population will measure between 35 and 40?

Suppose X is normally distributed with mean 30 and standard deviation 5.

Draw a curve to illustrate the distribution of X.

What is the probability that a randomly selected member of the population will measure between 20 and 30?