The normal range of Cholesterol level for an adult is 120-240 mg/dl. The Nutrition institute in a town found that the Ch

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The normal range of Cholesterol level for an adult is 120-240
mg/dl. The Nutrition
institute in a town found that the Cholesterol level of adults is
Normally distributed with
a Mean of 159.2 mg/dl. Also, it has been observed that 84.1% of
adults have a
Cholesterol level below 200 mg/dl.
(i) Determine the Standard Deviation of the given
distribution.
(ii) An adult is at moderate risk if the Cholesterol level is more
than one but less than
two Standard Deviations above the Mean. What percentage of the
population is
at moderate risk according to this criterion?
(iii)An adult is thought to be at high risk if the Cholesterol
level is more than two
Standard Deviations above the Mean. What percentage of the
population is at
high risk according to this criterion?
(iv)An adult has low risk if the Cholesterol level is one Standard
Deviation or more
below the Mean. What percentage of the population is at low risk
according to
this criterion?