The Height distribution of 700 Scottish men is modelled by the normal distribution, with mean 174 cm and standard deviat
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The Height distribution of 700 Scottish men is modelled by the normal distribution, with mean 174 cm and standard deviat
The Height distribution of 700 Scottish men is modelled by the normal distribution, with mean 174 cm and standard deviation 10 cm. a) Calculate the probability of a man being greater than 180 cm in height (2 marks) b) Estimate the number of men with height greater than 180 cm (to 3 s.f.) (2 marks) c) If 5% of the Scottish men has been selected to join basketball team by having a height of x or more. Estimate the value of x (to 3 s.f.) marks) d) Calculate the probability of a man being less than 150 cm in height (2 marks) e) Estimate the number of men with height of less than 150 cm (to 1 s.f.) (2 marks) f) Calculate the probability of a man being between 170 and 190 cm in height (3 marks)
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