The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.12 ounces and a standard deviation of 0.08 ounce. The cans only hold 12.20 ounces of soda. Every can that has more than 12.20 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?
The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a
The normal distribution is the most useful theoretical distribution for continuous variable.
For the normal distribution,
Mean = μ and
Standard deviation = σ, symbolically we write.
Given,
Sample size = n = 12
Population mean = = 12.12
Population standard deviation = = 0.08
Sample mean = = 12.20
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