Answer:
a) 3.6
b) 1.897
c)0.0273
d) 0.9727
Step-by-step explanation:
Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.
a)
The mean of a Poisson random variable X is μ.
mean=E(X)=μ=3.6.
b)
The standard deviation of a Poisson random variable X is √μ.
standard deviation=S.D(X)=√μ=√3.6=1.897.
c)
The probability for Poisson random variable X can be calculated as
P(X=x)=(e^-μ)(μ^x)/x!
where x=0,1,2,3,...
So,
P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!
P(no case of rabies)=P(X=0)=0.0273.
d)
P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)
P(at least one case of rabies)=1-0.0273=0.9727
So -x can also represent -1
You want to divide both sides by -1 so you can get -x to be just x
-x divided by -1 = x
-24 divided by -1 = 24
Your answer is x=24
By taking a common denominator, we can find out that the simplified expression of the given expression is 
.
The given expression is -
---- (1)
We have to simplify the expression.
From equation (1), we have the given expression as -
Establishing common denominator 
, we have
Combining the numerator and common denominator, we have
Thus, the simplified expression of the given expression is which is obtained by taking a common denominator.
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Two-hundred and forty-nine is less than two hundred and seventy-one
