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:
height = 7.78 mm, while base = 31.11
Step-by-step explanation:
First, create the equation "4x^2=242." After doing this, solve for x. Once you do this, you will find x as 7.78. The x value is your height. To find the base, multiply height by 4.
Answer:
x=5
Step-by-step explanation:
Answer:
For Review: Planning Ahead and Contracts Quick Check... these are the answers...
1) B. Yes, you want to begin saving at least 25 years before you plan to retire
2) D. all of the above
3) $2,341.27 per month realized income
4) Your housing and fixed expenses are $702.38 per month do you want to have a four month emergency fund and save it over a nine month period of time how much do you need to save per month?
Answer #4) $312.17 /month
Step-by-step explanation:
702.38 * 4 = 2,809.52 How much you will need to save for 4 months worth or expenses.
Now divide by 9 because that is how many months you will take to save up...
2,809.52 / 9 = 312.17
Answer) $312.17 per month, for 9 months to save 4 months worth or expenses.
Answer:
6 cm
Step-by-step explanation:
Vcuboid = lwh
⇒ h = Vcuboid ÷ lw
∴ h = 540 cm³ ÷ 90 cm²
⇒ h = 6 cm
