Question 1173756: . Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a standard deviation of 6 cm.
a. What is the probability/percentage that a child, picked at random has a height greater than 120 cm?
b. What is the probability/percentage that the height of a child, picked at random, is less than 100 cm?
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Normal Distribution:
μ = 110 σ = 6
Note: The -9999 is used as the smaller value to be at least 5 standard deviations from the mean.
Using a TI calculator 0r similarly a Casio fx-115 ES plus <$20)
a. What is the probability/percentage that a child, picked at random has a height greater than 120 cm?
P (x > 120 ) = 1 - P (x ≤ 120 ) | Continuous function
P (x > 120 ) = 1 - normalcdf(-9999,120,110,6) = 1 - .9522 = .0478
 .
b. What is the probability/percentage that the height of a child, picked at random, is less than 100 cm?
P (x < 100 ) = P (x ≤ 100 ) |Continuous function
P (x < 100 ) = P (x ≤ 100 ) =normalcdf(-9999,100,110,6) = .0478
Note: 120 and 100 are both 10 from μ of 110
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