Question 1202985
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<font color=black size=4>Answer:</font> 95% of the trees are between <u>&nbsp;&nbsp;&nbsp;<font color=red size=4>32 cm</font>&nbsp;&nbsp;&nbsp;</u> and <u>&nbsp;&nbsp;&nbsp;<font color=red size=4>72 cm</font>&nbsp;&nbsp;&nbsp;</u>


Explanation:


The Empirical Rule says that roughly 95% of the normally distributed population is within 2 standard deviations of the mean.


Subtract off 2 copies of the standard deviation from the mean.
mean - 2*standardDev = 52 - 2*10 = <font color=red>32</font>
That's the lower boundary.


Then add 2 copies of the standard deviation to the mean.
mean + 2*standardDev = 52 + 2*10 = <font color=red>72</font>
That's the upper boundary.


We can say P(32 < x < 72) = 0.95 approximately.
In other words, the area under this particular normal distribution curve between x = 32 and x = 72 is roughly 0.95
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