Answer:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Step-by-step explanation:
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
is the Euler number
is the mean in the given time interval.
The problem states that:
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.
To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.
There are 5 weekdays, with a mean of 0.1 calls per day.
The weekend is 2 days long, with a mean of 0.2 calls per day.
So:

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?
This is
. So:


There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Answer:
ummmmmm peace out
Step-by-step explanation:
Answer:

Step-by-step explanation:
We have two conditions:

Bella: y = 25x + 60 = 25(10) + 60 = 250 + 60 = 310
Heather: y = 30x + 10 = 30(10) + 10 = 300 + 10 = 310
Answer:
cos Θ = 
Step-by-step explanation:
Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by
h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )
h = 
In relation to Θ, 4 is adjacent and 5 is opposite, thus
cos Θ =
= 
Hello from MrBillDoesMath!
Answer:
36
Discussion:
36 = 6^2 so is a power of 6
The other choices are multiples of 6 not powers of 6 (e.g. 24 = 6*4, 12 = 6*2, 18 = 6*3)
Tha
nk you,
MrB