Answer:
Step-by-step explanation:
Given the functions f(x) = 2x^2 + 2 and g(x) = 2^x+1 + 2
If g(x) > f(x)
2^(x+1) + 2 > 2x^2 + 2
2^x*2 + 2 >2x^2 + 2
2^x*2 >2x^2
2^x > x^2
2^x - x^2 > 0
Its 0.5. Which would be in fraction form 5/10 meaning its 5 tenths.
Answer:
a) The mean number of cases is 0.14608 cases.
b) The probability that the number of cases is exactly 0 or 1 is 0.990.
c) The probability of more than one case is 0.010
d) No, because the probability of more than one case is very small
Step-by-step explanation:
We can model this problem with a Poisson distribution, with parameter:

a) The mean amount of cases is equal to the parameter λ=0.14608.
b) The probability of having 0 or 1 cases is:

c) The probability of more than one case is:

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.