Ms Clark bought 9 yards of fabric. She used it to make 13 identical scarves. How many yards of fabric did she use to make each s
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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:
Step-by-step explanation:
I hope I did this right:
So first thing to do is set up the equation.
Next thing to to is subtract 1/3 from both sides to get:
Next up, you will multiply each of the fractions by the opposing value
(multiply 1/8 by 3 and 1/3 by 8)
Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.
K =
Finally, you subtract 123 over 24 by 8 over 24.
K =
Then just simplfy the 115/24 to get