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The height of the water level in mineral bottles has a mean of 120 mm and...

The height of the water level in mineral bottles has a mean of 120 mm and a standard deviation of 3 mm. Assume the height of the water level is normally distributed and water level in different bottles are independent.

What is the probability that the average height of the water level of 9 bottles is between 118 and 120.4 mm.?

What is the minimum number of water bottles that need to be measured such that the probability that the average height exceeds 121.84 mm is less than or equal to 0.11507?

Math   Statistics-And-Probability   
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