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:
10^-1*2.65
Step-by-step explanation:
two hundred sixty-five thousandths= 0.265
We need a number between 1 and 10, to do the multiplication in standard form, so 0.265 turns into 2.65.
Because 2.65 becomes, smaller we use a negative power. We only move the decimal place once to the left, so we would multiply 2.65 by 10^1.
10^-1*2.65=0.265
Answer:
The dimensions of the park is 18yd by 18yd
Step-by-step explanation:
A square-shaped park has an area of 324 yd.
A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².
Length= √324
Length= 18 yd
Dimensions of the park is 18 yd by 18 yd
Answer:
y = 4
Step-by-step explanation:
I assume you want to find the slope-intercept form of the given information.
We are given the slope and a point, so we can find the y-intercept.
y = 0x + b
4 = 0(-2) + b
4 = 0 + b
4 = b
Put everything we know/solved for back into the formula [ y = mx + b ]
y = 4
Best of Luck!
Answer:
3 minutes 6 gallons of water is gone so therefor it would take 6 complete minutes but 3 more minutes
Step-by-step explanation: