Answer:
0.713 = 71.3% probability that the county office will get more than 0 calls in a 15 minute period.
Step-by-step explanation:
We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A county office gets an average of 10 calls in a 2 hour time period.
10 calls each 120 minutes, which means that the mean for n minutes is:
15 minute period:
This means that
What is the probability that the county office will get more than 0 calls in a 15 minute period?
This is:
In which
So
0.713 = 71.3% probability that the county office will get more than 0 calls in a 15 minute period.
Answer:
4.87 × 10-5
Step-by-step explanation:
Hopes this helps.
Answer:
The correct option is C
Step-by-step explanation:
We have given the roots -6, 1 and 4.
Write down the roots:
x= -6 , x=1 , x=4
Rewrite the roots as an expression:
x+6=0
x-1=0
x-4=0
Now we have the following expressions:
=(x+6)(x-1)(x-4)
Now Multiply the terms:
=(x²-x+6x-6)(x-4)
=(x²+5x-6)(x-4)
=x(x²+5x-6) -4(x²+5x-6)
=x³+5x²-6x-4x²-20x+24
Solve the like terms:
=x³+x²-26x+24
Thus the correct option is C....
Answer:
(0,0)
Step-by-step explanation:
If you moved right 9 units; add nine to the x axis
If you moved 1 unit up; add one to the y axis