A study of the students taking distance learning courses at a university finds that they are mostly older students not living in the university town. Choose a distance learning student at random. Let A be the event that the student is 25 years old or older and B the event that the student is local. The study finds that:
P(A) = 0.7, P(B) = 0.25, and P(A and B) = 0.05.
5. What is the probability that the student is less than 25 years old?
A study of the students taking distance learning courses at a university finds that they are mostly older students not living in the university town. Choose a distance learning student at random. Let A be the event that the student is 25 years old or older and B the event that the student is local. The study finds that:
P(A) = 0.7, P(B) = 0.25, and P(A and B) = 0.05.
What is the mean number of calls that reach a person?
.67
To find the probability that the student is less than 25 years old, we can use the complement rule. The complement of event A (the student is 25 years old or older) is the event that the student is less than 25 years old.
The complement rule states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.
In this case, we want to find P(not A), which represents the probability that the student is less than 25 years old.
P(not A) can be calculated as follows:
P(not A) = 1 - P(A)
Given that P(A) = 0.7, we can substitute this value into the equation:
P(not A) = 1 - 0.7
P(not A) = 0.3
Therefore, the probability that the student is less than 25 years old is 0.3 or 30%.