## Q-QUIZ JUNE 2019

### A bottle filling system puts your probability calculus to the test

It is very important to drink more on hot days. This is why we dedicate this Q-QUIZ to a bottle filling system and associated beverages and test your knowledge in probability calculation.

1) The filling volume of a bottle filling system is normally distributed with an average of 1000 ml and a variation of 1 ml. What is the probability of blind-drawing a bottle whose filling volume is between 1001 and 1002 ml?

• Between 13.6% and 97.7%

2) The normal probability plot shows filling volumes of a different filling process. Two points are very significant:
1st point: filling volume of 1001 ml / probability of 50 %
2nd point: filling volume of 1002 ml / probability of 84.1345 %
What is the standard deviation of the filling volume of this system?

• 2
• 0.5
• 1

3) You took a sample before and after maintaining a filling system. The chart of the values collected after the maintenance is significantly steeper than the chart of the first sample. This fact usually indicates that the maintenance…

• … reduced the variation (standard deviation).
• … reduced the process level (average).
• … reduced the variation and the process level.

4) Data of several subgroups were combined into a single data set and plotted in a normal probability plot. The corresponding chart is s-shaped. This shape shows that…

• … the variation improved.
• … data from different populations were combined.
• … there are too many outliers.

5) The values of a sample (size > 100) represent the filling volumes of lemonade. A normal probability plot shows them. The data a clearly skewed to the right which indicates that…

• … the data come from a normally distributed population.
• … there are too few data available to render a judgement.
• … the data come from a not normally distributed population.

6) The beverage company offers a special edition of bottles. 50% of all these bottles have a win code in the bottle cap. What is the probability of having a single win code when you select two bottles?

• 0.25
• 0.5
• 0.75

7) While printing bottle labels, there are normally two misprints on each 100 running meters. What is the probability that a sample of 10 running meters shows exactly 1 misprint?

• 0.164%
• 1.64%
• 16.4%

8) You bought eleven small bottles of apple juice, five small bottles of orange juice and four little bottles of cherry juice for a picnic and put them in a bag. What is the probability of blind-drawing a bottle of orange juice from the bag?

• 25%
• 20%
• 22.5%

Our Q-QUIZ is published once a month. You can find the answer to all questions of the current quiz online with the release of the next quiz.