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Statistic and Probability Please explain in details, and I don't want answers copied from other WEBSITES ANSWERS . Thanks! #1 A milk distributor claims that

Statistic and Probability
Please explain in details, and I don't want answers copied from other WEBSITES ANSWERS. Thanks!
#1
A milk distributor claims that the percentage of fat content in a carton of 2% milk distributed by his company has a mean of 2 and a standard deviation of 0.2. An inspector picks a random sample of 25 cartons to check their milk content. Assuming that the distributor's claim is true, using the normal approximation, calculate the probability that the average percentage of fat in these 25 cartons will exceed 2.05.The number of electronic messages arriving in a large oice complex has a Poisson distribution with mean 1 per second. Using the normal approximation calculate the prohahilitj,r that in a given hour there will be fewer than 315ml messages

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