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:
(0,3) and (7,0) are solutions.
Step-by-step explanation:
In a pair of coordinates, they are always listed as (x,y). Since this is the case, you plug in each coordinate to their respective places.
For (0,3)
3(0) + 7(3) = 21
0 + 21 = 21
For (7,0)
3(7) + 7(0) = 21
21 + 0 = 21
To double check that (1,2) isn't a solution:
3(1) + 7(2) = 21
3 + 14 = 21
17 = 21 X
This doesn't work.
Marking as Brainliest is much appreciated.
-24°F
Step-by-step explanation:
-18°F + 13°F - 19°F
= -5°F - 19°F
= -24°F
The property of soils which depends on the size of particles is Texture.
<h3>Properties of Soil</h3>
The properties of Soil include colour, odor, temperature, and texture as measured by porosity, mouldability and a host of other texture effects.
- It is evident that the texture of soil is dependent on the size of the particles as it affects how packed the particles of the soil is.
Read more on properties of soil;
brainly.com/question/26462165
