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Suppose that a crate is filled with 100 apples. The weight of the crate is 0.5kg....

Suppose that a crate is filled with 100 apples. The weight of the crate is 0.5kg. The weight of an apple is Gaussian distributed with a mean of 0.2kg and standard deviation 0.03kg. Let X be the weight of the crate full of apples.

(a) Find the probability density function of X

(b) What is the probability that X is more than 22kg?

(c) What is the probability that X is exactly 22kg?

Math   Statistics-And-Probability   
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