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:

1,589.63 in.^3

step-by-step explanation:

i hope this you : d

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.