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QUESTION
For a normal distribution, mean u=8. Find standard deviation if r is the variable P(6<r<10)=0.5 ?
The standard deviation is ##sigma=1.5##
The z-score is ##=(r-mu)/sigma##
Here we know.
##mu=8##
and ##P (6< r <10)=0.5 ##
Therefore, ##P(8< r <10)=0.25##
We look for the probability ##P=0.5## in the z-table
##z=0.67##
Therefore, ##(10-8)/sigma=0.67##
##sigma= 2/0.67=1.5##
