Name______________________________ 
Normal Curve Quiz
Make sure to unclude a ""quick sketch" for each  

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question. 

Provide an appropriate response. 

1) 

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds. 

1) 

_______ 

A) 

0.5107 

B) 

0.9893 

C) 

0.4893 

D) 

0.0107 

2) 

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 470 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected boy in secondary school will take longer than 332 seconds to run the mile. 

2) 

_______ 

A) 

0.0107 

B) 

0.5107 

C) 

 0.9893 

D) 

0.4893 

3) 

The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.36 ounces and a standard deviation of 0.24 ounce. The cans only hold 12.60 ounces of soda. Every can that has more than 12.60 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the probability a randomly selected can will need to go through this process? 

3) 

_______ 

A) 

0.3413 

B) 

0.1587 

C) 

0.8413 

D) 

0.6587 

4) 

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 5.5 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 4.0 and 6.5 minutes to find a parking spot in the library lot. 

4) 

_______ 

A) 

0.0919 

B) 

0.4938 

C) 

0.2255 

D) 

0.7745 

5) 

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 40 seconds. The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition from the fitness association? 

5) 

_______ 

A) 

501.2 sec 

B) 

515.8 sec 

C) 

398.8 sec 

D) 

384.2 sec 

6) 

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 50 seconds. Between what times do we expect most (approximately 95%) of the boys to run the mile? 

6) 

_______ 

A) 

between 0 and 532.28 sec 

B) 

between 352 and 548 sec 

C) 

between 355 and 545 sec 

D) 

between 367.75 and 532.28 sec 

7) 

The amount of corn chips dispensed into a 32-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 32.5 ounces and a standard deviation of 0.2 ounce. What chip amount represents the 67th percentile for the bag weight distribution? Round to the nearest hundredth. 

7) 

_______ 

A) 

32.09 oz 

B) 

32.63 oz 

C) 

32.13 oz 

D) 

32.59 oz 

8) 

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1 minute. Find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot. 

8) 

_______ 

A) 

7.8 min 

B) 

7.3 min 

C) 

7.7 min 

D) 

7.5 min 

 

1) 

D 

2) 

C 

3) 

B 

4) 

D 

5) 

C 

6) 

B 

7) 

D 

8) 

C