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Wingspans of adult horses have approximate normal distribution with mean 125 cm and standard deviation 12 cm. What are the rst and third quartiles of the wingspans

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Answer:

The first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

Explanation:

The first and third quartile of a normal distribution are:


Q_(1)=\mu-0.675\sigma\\\\Q_(3)=\mu+0.675\sigma

The information provided is as follows:


\mu=125\\\sigma=12

Compute the first and third quartile of the wingspans as follows:


Q_(1)=\mu-0.675\sigma=125-(0.675* 12)=116.9\\\\Q_(3)=\mu+0.675\sigma=125+(0.675* 12)=133.1

Thus, the first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

User Almira
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