According to the most recent adult demographic census of ohio, 22% of residents are 18 to 29 years old, 45% are between 30 and 49 years old, and 33% are 50 and older. (age brackets a1, a2, and a3 respectively.) of ag4596. those who are in the al age bracket, 5% use e-harmony: of those in a2, 19% use e-harmony; and of those in , compute the joint probabilities where e an individual uses e-harmony (it will be to use a probability tree)
p(a1ne)
p(a2ne)
a) what proportion of residents use e-harmony?
b) you receive a message from an individual using e-harmony expressing interest. what is the probability the individual is 50 years or older?

a)

Since we have all the possible values we can replace:

And that would be the proportion of residents who use E-Harmony

We can find the P(A1nE)  and P(A2nE) with the following formulas:

b)  For this case we want this probability

And from the Bayes conditional probability we have this:

Step-by-step explanation:

Notation

represent the event resident between 18 and 29 years old

represent the event resident between 30 and 49 years old

represent the event resident is >50 yeard old

represent the event the residen tuse E-Harmony

From the problem we have the following probabilities:

And we have conditional probabilites also given:

The other probability assumed since the problem is incomplete is:

Part a

For this case we can use the total probability rule given by:

Since we have all the possible values we can replace:

And that would be the proportion of residents who use E-Harmony

We can find the P(A1nE)  and P(A2nE) with the following formulas:

Part b

For this case we want this probability

And from the Bayes conditional probability we have this:

answer: slight chance that it will happen

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,