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
Answer:
B.
Step-by-step explanation:
The answer is B
Answer:
The recipe calls for 19/12 or 1 7/9 cups.
Step-by-step:
In order to get this answer, we have to add all three fractions together. First, we have to find the LCM (Least Common Multiple) between the three denominators:
2: 2, 4, 6, 8, 10, 12
3: 3,6,9,12
4: 4,8,12
The LCM between these three denominators is 12.
4x3=12
2x6=12
3x4=12
You now multiply the numerator by the same number you multiplied by for the denominator in order to get 12:
3/4 becomes 9/12
1/2 becomes 6/12
1/3 becomes 4/12
We now add all the fractions together:
9/12+6/12+4/12= 19/12
We got 19/12 but the answer is an improper fraction so we turn it into a mixed number:
12x1=12 (7 remaining)
This is written as 1 7/12.
Hope this helps! :)
<h3>
CloutAnswers</h3>
725/25 = 29
The driver will have to refill the gas tank 29 times during the 725 miles trip.
I hope this helped you! c:
We know that, Amount in Compound interest is given by :
Given : Principal = $2000
Given : Annual yield is 5% and the interest is compounded quarterly
It means : Interest is compounded 4 times in a year
Substituting all the values in the formula, we get :
