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15. The Green Environment Co. is a company to collect and process the recycles from some...

15. The Green Environment Co. is a company to collect and process the recycles from some specic stations of a city. From years of recorded data, the mean amount of recycle collected for processing is 8650 Kg with a standard deviation of 1250 Kg. Suppose 100 trucks of this company are selected randomly.

(a) Find the probability that the sample mean amount of recycles collected by 100 trucks is more than 8800 Kg.

(b) Find the probability that the sample mean amount of recycles collected by 100 trucks is within 50 Kg of the population mean.

(c) Find the 96th percentile of the distribution of sample mean.

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