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gogolik [260]
3 years ago
9

Pls help me find the sum ❣️

Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

Step-by-step explanation:

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7x+2a=3x+5a

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4x = 3a

x = 3a/4

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Assume that the poisson distribution applies and that the mean number of hurricanes in a certain area is 7.2 per year.
SCORPION-xisa [38]
Part A:

The poisson distribution is given by 

P(x;\mu)=e^{-\mu}\cdot \frac{\mu^x}{x!}

Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.

The </span><span>probability​ that, in a​ year, there will be 6 hurricanes is given by

</span>P(6;7.2)=e^{-7.2}\cdot \frac{7.2^6}{6!} \\ \\ =0.000747\times \frac{139314.0695}{720} \\ \\ =0.000747\times193.492 \\ \\ =0.1445


Part B:

<span>In a 45​-year ​period, the number of years that are expected to have 6 ​hurricanes is given by 0.1445 x 45 = 6.5 years.


Part C:

The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>
4 0
3 years ago
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