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An airline company models the weight (in pounds) of the luggage of a passenger according to some unknown distribution with mean/expectation 35 pounds and standard deviation 5 pounds.

A random sample of 100 passenger's luggage is taken, and the sample mean of the weights is recorded, XX .

What is the probability that the sample mean XX is greater than 36 pounds?

Round to the nearest 3rd decimal place, 0.xxx