Heights of men are normally distributed with a mean of 176 cm and a standard deviation of 7 cm. What is the approximate percentage of men greater than 155 cm?
Solution :
Given that ,
mean = = 176
standard deviation = = 7
P(x > 155) = 1 - p( x< 155)
=1- p P[(x - ) / < (155 - 176) / 7 ]
=1- P(z < -3)
Using z table,
= 1 - 0.0087
= 0.9987
The percentage is = 99.87%
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