It is estimated that 26% of all california adults are college graduates and that 31% of california adults are regular internet users. it is also estimated that 21% of california adults are both college graduates and regular internet users. (a) what is the probability that a california adult is an internet user, given that he or she is a college graduate? round your answer to 2 decimal places. (b) among california adults, what is the probability that a randomly chosen internet user is a college graduate? round your answer to 2 decimal places.

a) There is an 81% probability that a California adult is an internet user, given that he or she is a college graduate.

b) There is a 68% probability that a randomly chosen internet user is a college graduate.

Step-by-step explanation:

The best way to solve this problem is building the Venn Diagram of these sets.

I am going to say that

A is the percentage of California adults that are college graduates.

B is the percentage of California adults that are regular internet users.

We have that:

.

In which a are those who are only college graduates and are those who are both college graduates and regular internet users.

By the same logic, we have that:

In which b are those who are only regular internet users and are those who are both college graduates and regular internet users.

We start finding these values from the intersection:

It is also estimated that 21% of California adults are both college graduates and regular internet users. This means that

26% of all California adults are college graduates. This means that

31% of California adults are regular internet users. This means that

(a) What is the probability that a California adult is an internet user, given that he or she is a college graduate?

The set of college graduates and regular internet users is given by .

The set of college graduates is given by .

So

There is an 81% probability that a California adult is an internet user, given that he or she is a college graduate.

b) Among California adults, what is the probability that a randomly chosen internet user is a college graduate?

The set of college graduates and regular internet users is given by .

The set of internet users in given by .

So

There is a 68% probability that a randomly chosen internet user is a college graduate.

4.6875 pounds

step-by-step explanation: