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the ages of commercial aircraft are normally distributed with a mean of 12 years and a standard deviation of 8.2577 years what percentage of individual aircraft have ages between 10 and 16 years assume that a random sample of 64 aircraft is selected and the mean age of the sample is computed what percentage of sample me have ages between 10 years and 16 years

Answer :

Since the sample is normally distributed we need to use the z score formula:

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

where x is the value we want, mu is the mean and sigma is the deviation.

Now, we need the the probability:

[tex]\begin{gathered} P(10\leq X\leq16)=P(\frac{10-12}{8.2577}\leq Z\leq\frac{16-12}{8.2577}) \\ =P(-0.2421\leq Z\leq0.4843) \end{gathered}[/tex]

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