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1) For the population from which army recruits are drawn, hair length is normally distributed with mean 4 inches and standard deviation 1 inch. a) Army regulations state maximum hair length to be 2.1 inches. What proportion of recruits will be obliged to have a haircut to comply with this regulation? b) Each haircut costs the army 50 pence. How much would the army save on 100,000 recruits if the maximum length were changed to 2.5 inches? c) General James wishes to know what hair length is exceeded by 40% of the population. What is the correct answer to this query? d) After recruitment (and haircuts where necessary) recruits' hair lengths have a normal distribution with mean 1 inch and standard deviation 0.1 inches. If hair grows at 0.8 inches per month, how long before 85% of recruits require a haircut?
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