SOLUTION: The height of 250 soldiers in a military camp confirms a normal distribution with mean height of 155 cms and S.D. of 20 cms. Find the proportion of soldiers with height above 170 c
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Question 922041: The height of 250 soldiers in a military camp confirms a normal distribution with mean height of 155 cms and S.D. of 20 cms. Find the proportion of soldiers with height above 170 cms. Also find the height of the shortest soldier in the group of tallest 20% soldiers. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The height of 250 soldiers in a military camp confirms a normal distribution with mean height of 155 cms and S.D. of 20 cms. Find the proportion of soldiers with height above 170 cms. -------------------
z(170) = (170-155)/20 = 15/20 = 3/4
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P(x > 170) = P(z > 0.75) = normalcdf(0.75,100) = 0.2266 = 22.66%
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Also find the height of the shortest soldier in the group of tallest 20% soldiers.
Find the z-value with a right tail of 20%.
invNorm(0.8) = 0.8416
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Find the correspond soldier height:
x = 0.8416*20 + 155 = 171.83 cm
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Cheers,
Stan H.
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