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.
The 3rd one because you have to get the y-intercept also which is -6
Here the word "borrowed" is taken as Principal, given rate is 1% and time taken is 3/4 yrs.
so by using formula,
I = P*T*R / 100
= 25000*3/4*1 / 100
= 187.5
So the answer must be 187.5.