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The actual amount of coffee in grams in a 230

The actual amount of coffee (in grams) in a 230- gram jar filled by a certain machine is a random variable whose probability density is given by

Find the probabilities that a 230- gram jar filled by this machine will contain

(a) At most 228.65 grams of coffee;

(b) Anywhere from 229.34 to 231.66 grams of coffee;

(c) At least 229.85 grams of coffee.

Find the probabilities that a 230- gram jar filled by this machine will contain

(a) At most 228.65 grams of coffee;

(b) Anywhere from 229.34 to 231.66 grams of coffee;

(c) At least 229.85 grams of coffee.

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