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:
Variable A and variable B have a negative linear association.
Step-by-step explanation:
We are asked to find which best describes the association between variable A and variable B.
From the scatter plot we could clearly see that as the value of variable A are increasing the corresponding value of variable B is decreasing.
Also we could see that the points are linear.
Hence, the relationship that best describes variable A and variable B is:
Negative linear Association
Answer:
It is the distance that - 5 is from 0 on the number line.
Step-by-step explanation:
We have to select a statement that is true about the value of StartAbsoluteValue negative 5 EndAbsoluteValue i.e. |- 5|
Definition of the absolute value function is given by, |x| = x for, x ≥ 0 and |x| = - x for x < 0.
Now, an absolute value function gives the positive value of any value in the function i.e. |- 5| = 5.
Therefore, it is the distance that - 5 is from 0 on the number line. (Answer)
Answer:
The new position is 190 feet below sea
Step-by-step explanation:
240-50=190
To double the principle the formula is
2p=p e^rt
2=e^rt
2=e^0.12t
Solve for t
T=(log(2)÷log(e))÷0.12
T=5.78 years
