A process used in filling bottles with soft drink results in net weights that are normally...

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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.

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Here it is given that a process used in filling bottles withsoft drink results in net weights that are normally distributedwith a mean of 2 liters and a standard    See Answer
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