Application of Normal Distribution

A coffee vendo machine is designed to discharge an average of 8 ounces with standard deviation of 0.2 ounces. If the amounts of coffee the machine discharges follow a normal distribution, what percent of the discharges MORE THAN 8.5 ounces?

• 0.35%

• 0.42%

• 0.62%

• 0.87%

Tags

CCSS.HSS.ID.A.4

A coffee vendo machine is designed to discharge an average of 8 ounces with standard deviation of 0.2 ounces. If the amounts of coffee the machine discharges follow a normal distribution, what percent of the discharges are between 7.6 ounces and 8.1 ounces?

• 66.87%

• 2.28%

• 69.18%

• 65.17%

Tags

CCSS.HSS.ID.A.4

A coffee vendo machine is designed to discharge an average of 8 ounces with standard deviation of 0.2 ounces. If the amounts of coffee the machine discharges follow a normal distribution, what is the probability that it is less than 7.7 ounces?

• 7.86%

• 9.68%

• 6.89%

• 6.68%

Tags

CCSS.HSS.ID.A.4

The weights of 2000 students are normally distributed with a mean of 46 kg with standard deviation of 2.5 kg. How many students are less than 44.3 kg?

• 490

• 497

• 495

• 500

Tags

CCSS.HSS.ID.A.4

The weights of 2000 students are normally distributed with a mean of 46 kg with standard deviation of 2.5 kg. How many students are heavier than 51.5 kg?

• 26

• 27

• 28

• 29

Tags

CCSS.HSS.ID.A.4

The weights of 2000 students are normally distributed with a mean of 46 kg with standard deviation of 2.5 kg. If a student from this group is randomly selected, what is the probability that he/she weighs between 45 kg and 49 kg?

• 54.03%

• 55.04%

• 56.56%

• 58.07%

Tags

CCSS.HSS.ID.A.4