Question

In: Statistics and Probability

3) suppose the weight of adult males are normally distributed and that 2.28% are under 120...




3) suppose the weight of adult males are normally distributed and that 2.28% are under 120 lb in weight, and 81.85% are between 120 and 186 lb. find the parameters of the distribution ("mu" mean and "sigma"standard deviation).


Solutions

Expert Solution

X: weight of adult males

X follow Normal distribution

P(X<120)=2.28%

.......(1)

P(120<X<186)=81.85%

.......(2)

Subtract (1) from (2)

Put this value in equation (2)

Mean is 164

And standard deviation is 22


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