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2 answers:
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Answer:
a. 0.098
b. 4.41
c. Yes, it does.
Step-by-step explanation:
a.
The Poisson distribution's equation is:
P(x) = (nˣ*e⁻ⁿ)/x!
where P is the probability, n is mean number, and x the number of the event happens, so:
P(3) = 0.098
b.
For 45 years, the years that are expected to have 3 hurricanes are
P(3) * 45 = 0.098*45 = 4.41
c.
Yes, it does. The Poisson distribution works well because the observed value of the number of years that 3 hurricanes occur is 45-year period is very close to the calculated value.
<h3>Answer: 1</h3>
Explanation:
1/3 is the same as 2/6
Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.
Therefore 4/6 + 1/3 is the same as 4/6 + 2/6
At this point, we add the numerators over the common denominator
4/6 + 2/6 = (4+2)/6 = 6/6 = 1
Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.