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:
I think the equation is written as 3r + 2.5p, where r is the number of roses and p is the number of petunias. To find the total cost, substitute 777 to r and 888 to p. The total cost would then be:
Total Cost = 3r + 2.5p
Total Cost = 3(777) + 2.5(888)
Total Cost = 4551
The total cost would be $4,551.
Answer:
The distance between these two given points is:

Step-by-step explanation:
We are given two points:
(-3,7),(0,4)
<em>The distance between two points (a,b) and (c,d) is given by the distance formula as:</em>
<em>
</em>
similarly we can find the length of a line segment by considering the distance between the end points of the line segment.
So here (a,b)=(-3,7)
and (c,d)=(0,4).
Hence distance between these two points is given by:

Answer:
40 games will be played in total.
Step-by-step explanation: