10 The distribution of the weights of those rowing in a very large regatta may be taken to be normal with mean 80 kg and standard deviation 8 kg. (i) What total weight would you expect 70% of randomly chosen crews of four rowers to exceed? (ii) State what assumption you have made in answering this question and comment on whether you consider it reasonable.

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10 (i) 311.6 kg
(ii) Assume that the composition of each crew is
selected randomly so that the weights of each
of the four individual rowers are independent
of each other. This assumption may not be
reasonable since there may be some light-weight
and some heavy-weight crews; also men's and
women's crews. If this is so it will cast doubt on
the answer to part (i).
Transcribed Image Text:10 (i) 311.6 kg (ii) Assume that the composition of each crew is selected randomly so that the weights of each of the four individual rowers are independent of each other. This assumption may not be reasonable since there may be some light-weight and some heavy-weight crews; also men's and women's crews. If this is so it will cast doubt on the answer to part (i).
10 The distribution of the weights of those rowing in a very large regatta may be
taken to be normal with mean 80 kg and standard deviation 8 kg.
(i) What total weight would you expect 70% of randomly chosen crews of
four rowers to exceed?
(ii) State what assumption you have made in answering this question and
comment on whether you consider it reasonable.
Transcribed Image Text:10 The distribution of the weights of those rowing in a very large regatta may be taken to be normal with mean 80 kg and standard deviation 8 kg. (i) What total weight would you expect 70% of randomly chosen crews of four rowers to exceed? (ii) State what assumption you have made in answering this question and comment on whether you consider it reasonable.
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