Answer to Question #104132 in Statistics and Probability for Mononita Dey

Question

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?

Answer 1

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