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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: Lower left corner
We have 29 people who chose fishing out of 18+29 people who filled out the survey. We don't use 60 because not everyone filled out the survey, and we're only focusing on survey participants. The "times 100" at the end will move the decimal point 2 spots to the right, and convert it to percent form.
For example, if you had 2 people who liked fishing out of 8 total then 2/8 = 0.25 = 25% of the people like fishing.