Answer: The percentile is 89
Step-by-step explanation:
This question can be solved using concept for t tables
In a normal distribution the curve. [tex]\mu= 1470 , \sigma = 230, x=1750[/tex]
The relationship between z score, mean and standard deviation is given by
[tex]x = \mu+z\sigma[/tex]
So the z value according to this is given by the formula
[tex]1750=1470+z(230)\\ z=\frac{280}{230} \\\\z = 1.217[/tex]
From the z table we can infer that p value for z=+1.217 is 88.82
So 1750 is 89th percentile
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