Basketball player heights are normally distributed with a mean of 195 cm. and a standard deviation of 20 cm. What is the probability that a randomly selected player's height is less than 180 cm? Show your work.
Solution :
Given that ,
mean = = 195
standard deviation = = 20
P(X< 180) = P[(X- ) / < (180-195) /20 ]
= P(z < -0.75)
Using z table
probability = 0.2266
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