3. In a typical 1 L plastic bottle, there are on average 325 plastic particles with a standard deviation of 11. Assume that the number of plastic particles in a 1L bottle is normally distributed. a. If a 1L bottle is randomly selected, find the probability that the number of plastic particles are greater than 320. b. If a case of 12 one-litre bottles is selected, find the probability that the mean number of plastic particles is between 320 and 330 plastic particles per bottle.

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