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tatyana61 [14]
3 years ago
7

In a race of 35 people, how many different ways can we have a 1st, 2nd and 3rd place finisher?

Mathematics
1 answer:
kumpel [21]3 years ago
8 0

Answer:

39,270 ways.

Step-by-step explanation:

That is the number of permutations of 3 from 35.

35P3 = 35! / (35-3)!

= 35*34*33

= 39270.

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Step-by-step explanation:

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3 years ago
The weight of a package of mints is believed to be normally distributed with mean 21.37 grams and standard deviation 0.4, i.e. X
nasty-shy [4]

Answer:

P(21

And using a calculator, excel or the normal standard table we have that:

P(-1.85

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

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X \sim N(21.37,0.4)  

Where \mu=21.37 and \sigma=0.4

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

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We can find the probability required with the following z score formula:

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And replacing we got:

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