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The machine packs toys in boxes. The weights of the toys to be packed are different independent and the weight of one toy has an

The machine packs toys in boxes. The weights of the toys to be packed are different

independent and the weight of one toy has an expected value of 200 g and a standard deviation of 15 g.

One hundred toys are packed in one box. Let S be a box of the toys total weight.

a) Calculate E [S].

b) Calculate Var [S].

c) What can you say about the distribution of S?

d) Calculate P (S> 19700 g).

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