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cupoosta [38]
3 years ago
11

. For a daily airline flight between two cities, the number of pieces of checked luggage has a mean of 380 and a standard deviat

ion of 20. On what percent of the flights would you expect from 340 to 420 pieces of checked luggage?
Mathematics
2 answers:
hjlf3 years ago
8 0

Answer: We have 95% chances of flight  that would be expected from 340 to 420 pieces of checked luggage.

Step-by-step explanation:

Since we have given that

The number of pieces of checked has mean and standard deviation as follows:

Sample mean (\mu ) = 380

Sample standard deviation (\sigma )= 20

We need to find the percentage of flights would be expected from 340 to 420   pieces of checked luggage.

So, if we take X = 340,

As it is normal distribution,

Then,

\frac{X-\mu}{\sigma}\\\\=\frac{340-380}{20}\\\\=\frac{-40}{20}\\\\=-2

Similarly, if we take X = 420 pieces,

\frac{X-\mu}{\sigma}\\\\=\frac{420-380}{20}\\\\=\frac{40}{20}\\\\=2

so, there are 2 standard deviations above the mean and 2 standard deviations below the mean.

So, in this case, we have 95% chances of flight  that would be expected from 340 to 420 pieces of checked luggage.

poizon [28]3 years ago
6 0

340 is (340-380)/20=-2, or 2 standard deviations below the mean.
420 is (420-380)/20=2, or 2 standard deviations below the mean.


 95% of values lie within 2 standard deviations of the mean, so the answer is 95%.

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