Question #219961

mean height of 133 people is 155 cm stadard deviation is 15 how many persons are taller than 200cm


1
Expert's answer
2021-07-26T11:08:03-0400

Given,

n=133Mean  μ=155 cmSD  σ=15X=200 cmn=133\\Mean\ \ \mu=155\ cm\\SD\ \ \sigma=15\\X=200\ cm


Using Normal Distribution:


z=Xμσ/n=20015515/133=34.5976z=\dfrac{X-\mu}{\sigma/\sqrt n}=\dfrac{200-155}{15/\sqrt{133}}=34.5976


So, number of people who are taller than 200 cm is equal to

P(X>200)=P(z>34.5976)0P(X>200)=P(z>34.5976)\approx 0


hence, from the population of 133 people, No one is taller than 200 cm



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