According to a recent government report, the aging of the U. S. population is translating into many more visits to doctors' offices and hospitals (USA Today, August 7, 2008). It is estimated that an average person makes four visits a year to doctors' offices and hospitals. What is the probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals

0.2835 = 28.35% probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals

Step-by-step explanation:

Mean during a time period means that we use the Poisson distribution.

Poisson distribution:

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

e = 2.71828 is the Euler number

is the mean in the given interval.

It is estimated that an average person makes four visits a year to doctors' offices and hospitals.

A year has 12 months, which means that the monthly mean is

What is the probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals?

This is:

In which

0.2835 = 28.35% probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3