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:
(y−2)29−x225=1
Step-by-step explanation:
Answer:
11/ 42. *. X^ 2. * X = I/3 X A * h; if E = 1/3 A
Then the answer is EX
Step-by-step explanation:
Volume of cone= 1/3 * base area * height
= 1/3 * pi* (X/2)^2 * X
= 1/3. * 22/ 7 * X^3/4
= 22/ 21 * X^3 / 4
= 11/21 *. X^2/ 2. *. X
= 11/ 42. * X^3
= 11/ 42. *. X^ 2. * X
The decision when the z value is within the rejection region is that we'll have to reject the null hypothesis.
<h3>What is a rejection region?</h3>
It should be noted that the rejection region is also known as the critical region. It is the set of values where the null hypothesis is rejected.
When the observed test statistic is in the rejection region, we'll have to reject the null hypothesis and then accept rte alternative hypothesis.
Learn more about z scores on:
brainly.com/question/6096474
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