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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.
Well if the straight line is equal to 1 then your answer is 2/3 but if the straight line is not equal to 1 you need to know what it is equal to or you could use the equation y = (2/3)x
"x" would be the length of the straight line and "y" would be two-thirds of it
Answer:
9 games
Step-by-step explanation:
If he purchase 1 game, he spent $12.50. If he purchased 2 games, he spent 2(12.50) = $25.
This means he spent 12.5x for x number of games.
His total spending will be 12.5x + 20. He has $17.50 left on the card from $150.
150 - (12.5x + 20) = 17.5
150 - 12.5x -20 = 17.5
130 - 12.5x = 17.5
-12.5x = 17.5 - 130
-12.5x = -112.5
x = 9