mean height of 133 people is 155 cm stadard deviation is 15 how many persons are taller than 200cm
Given,
"n=133\\\\Mean\\ \\ \\mu=155\\ cm\\\\SD\\ \\ \\sigma=15\\\\X=200\\ cm"
Using Normal Distribution:
"z=\\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)\\approx 0"
hence, from the population of 133 people, No one is taller than 200 cm
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