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5. Suppose that the distribution of the weight of a certain kind of tomatoes is Normally distributed with mean 115 gr. and standard deviation 18

5. Suppose that the distribution of the weight of a certain kind of tomatoes is Normally distributed with mean 115 gr. and standard deviation 18 gr.

a. Calculate the probability that a dozen randomly selected tomatoes of this kind will in total weigh more than 1300 gr. [3marks]

b. If the distribution of weights for the tomatoes is not Normal, is the above calculation still approximately correct? Explain your answer. [2marks]

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