Suppose the random variable X is normally distributed with mean (mu) equal to 20 and the standard deviation (sigma) equal to 5, what is the standardized value for x = 35, and what is the resulting distribution?
Solution :
Given that ,
mean = = 20
standard deviation = = 5
X=35
this is normal distribution
using z score formula
z = (X- ) /
=35-20/5
=3
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