A process used in filling bottles with soft drink results in netweights that are normally distributed, with a mean of 2 liters anda standard deviation of 0.05 liter. Bottles filled to less than 95%of the listed net weight can make the manufacturer subject topenalty by the state office of consumer affairs; bottles filledabove 2.10 liters may cause excess spillage upon opening.
What proportion of the bottles will contain
Between 1.90 and 2.0 liters?
At least 2.10 liters?
Ninety-nine percent of the bottles would be expected to containat least how much soft drink?
The central 40% of bottles will lye between what two liters?
The machine is considered a bargain if it is unlikely to requiremajor repair before the sixth year.
Find the probability that a major repair occurs after 6years.
Find the probability that a major repair occurs in the firstyear.
Does the machine seem to be a bargain?
Find the median time before a major repair.
Note: For (a), (b) and (d), don’t forget yourconcluding statements! For (c), you must give an explanation.
