Empirical rule & Normal Distribution Probabilities

What is the area under the normal curve to the left of the mean?

• 0.25

• 0.50

• 0.75

• 1.00

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve to the right of the mean?

• 0.25

• 0.50

• 0.75

• 1.00

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve between the mean and one standard deviation to the right?

• 0.16

• 0.34

• 0.50

• 0.84

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve between the mean and one standard deviation to the left?

• 0.16

• 0.34

• 0.50

• 0.84

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve between one standard deviation to the left and one standard deviation to the right of the mean?

• 0.16

• 0.34

• 0.50

• 0.68

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve to the left of one standard deviation above the mean?

• 0.16

• 0.34

• 0.50

• 0.84

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve between one standard deviation below the mean and one standard deviation above the mean?

• 0.16

• 0.34

• 0.50

• 0.68

Tags

CCSS.HSS.ID.A.4

The volumes of soda in quart soda bottles can be described by a Normal model with a mean of 32.3 oz and a standard deviation of 1.2 oz. What percentage of bottles can we expect to have a volume less than 32 oz?

• 0.4013

• 0.2403

• 0.5204

• 0.1407

Tags

CCSS.HSS.ID.A.4

For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.

• 0.0961

• 0.9039

• 0.2851

• 0.7531

Tags

CCSS.HSS.ID.A.4

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what percent of snowfall amounts will be between 40 and 50?

• 0.5393

• 0.4607

• 0.3719

• 0.7234

Tags

CCSS.HSS.ID.A.4