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2 years ago

Taxi Fares are normally distributed with a mean fare of $22.27 and a standard deviation of $2.20.

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

3 0

Answer:

Step-by-step explanation:

Given that taxi Fares are normally distributed with a mean fare of $22.27 and a standard deviation of $2.20.

For a random single taxi std deviation is 2.20

But for a sample of size 10, std deviation would be

$\frac{2.20}{\sqrt{10} }$

This would be less than the 2.20

Because std devition is less for sample we get a big z score for the sample than the single.

As positive values of z increase we find that probability would decrease since normal curve is bell shaped.

So single taxi fare would have higher probability than sample.

B) Here >24.

By the same argument we have z value less for single taxi hence the probability for more than that would be less than that of sample size 10

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