Combine regions of a normal curve with the 68–95–99.7 rule

Question 1

A quantity is normally distributed with mean 40 and standard deviation 9. What percentage of values lie between 40 and 58?

Answer 

Question 2

A factory fills 1000 bottles. Volumes are normally distributed with mean 417 ml and standard deviation 30 ml. About how many bottles hold more than 447 ml?

Answer 

Question 3

A quantity is normally distributed with mean 73 and standard deviation 4. What percentage of values lie between 77 and 81?

Answer 

Question 4

A factory fills 1000 bottles. Volumes are normally distributed with mean 266 ml and standard deviation 14 ml. About how many bottles hold less than 238 ml?

Answer 

Question 5

A quantity is normally distributed with mean 79 and standard deviation 8. What percentage of values lie between 55 and 87?

Answer 

Question 6

A factory fills 200 bottles. Volumes are normally distributed with mean 228 ml and standard deviation 50 ml. About how many bottles hold more than 328 ml?

Answer 

Question 7

A quantity is normally distributed with mean 35 and standard deviation 5. What percentage of values lie between 20 and 40?

Answer 

Question 8

A factory fills 1000 bottles. Volumes are normally distributed with mean 143 ml and standard deviation 25 ml. About how many bottles hold more than 193 ml?

Answer 

Question 9

A quantity is normally distributed with mean 80 and standard deviation 4. What percentage of values lie between 68 and 84?

Answer 

Question 10

A factory fills 600 bottles. Volumes are normally distributed with mean 184 ml and standard deviation 46 ml. About how many bottles hold less than 92 ml?

Answer 

Question 11

A quantity is normally distributed with mean 51 and standard deviation 6. What percentage of values lie between 45 and 51?

Answer 

Question 12

A factory fills 200 bottles. Volumes are normally distributed with mean 425 ml and standard deviation 17 ml. About how many bottles hold less than 391 ml?

Answer 

Question 13

A quantity is normally distributed with mean 68 and standard deviation 2. What percentage of values lie between 66 and 68?

Answer 

Question 14

A factory fills 400 bottles. Volumes are normally distributed with mean 477 ml and standard deviation 45 ml. About how many bottles hold more than 522 ml?

Answer 

Question 15

A quantity is normally distributed with mean 72 and standard deviation 6. What percentage of values lie between 60 and 72?

Answer 

Question 16

A factory fills 200 bottles. Volumes are normally distributed with mean 482 ml and standard deviation 42 ml. About how many bottles hold more than 524 ml?

Answer