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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