Normal Distributions

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

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CCSS.HSS.ID.A.4

What shape is a normal distribution curve?

• Half curve
• Round curve
• Bell curve
• Square curve

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CCSS.HSS.ID.A.3

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%
• 34%
• 16%
• 2.5%

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CCSS.HSF-LE.A.1B

Find the area of the shaded region. 

• 0.16
• 0.84
• 0.68
• 0.34

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CCSS.HSG.GMD.A.1

CCSS.HSG.MG.A.1

Find the area of the shaded region. 

• 0.16
• 0.84
• 0.68
• 0.34

Tags

CCSS.HSS.ID.A.4

Find the area of the shaded region. 

• 0.16
• 0.84
• 0.68
• 0.34

Tags

CCSS.HSS.ID.A.4

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 

• 1084 to 1216 pounds 
• 1106 to 1150 pounds 
• 1106 to 1194 pounds 
• 1128 to 1172 pounds

Tags

CCSS.HSS.ID.A.4

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above
• two below and two above
• two below and zero
• zero and two above

Tags

CCSS.HSS.ID.A.4

Attendance at a university’s basketball games follows a normal distribution with mean m = 8,000 and standard deviation s = 1,000.  Estimate the percentage of games that have between 7,000 and 9,000 people in attendance. 

• 68%
• 95%
• 99.7%

Tags

CCSS.HSS.ID.A.4

This data is normally distributed.  What percent of the data is in the shaded region?

• 5%
• 95%
• 2.5%
• 50%

Tags

CCSS.HSF-LE.A.1B