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Basketball player heights are normally distributed with a mean of 195 cm. and a standard deviation...

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.

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Answer #1

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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