SOLUTION: . Application of addition law: Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It i

Question 421864: . Application of addition law: Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting.
a. Find P(S).
b. Find the probability that a student is in accounting and is also in statistics.
c. A student is randomly selected, and it is found that the student is enrolled in accounting. What is the probability that this student is also enrolled in statistics?
d. A student is randomly selected, and it is found that the student is enrolled in statistics. What is the probability that this student is also enrolled in accounting?
e. A student is randomly selected, what is the probability that the student is enrolled in either accounting or statistics or both?
f. From this information, what can be concluded about two events?

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Make a Venn diagram to understand this problem.
a) .4
b) .15/.30 = .5
c) .5
d) .15/.40 = .375
e) .15+.15+.25=.55
f) They are dependent because P(A|S) <> P(A)
.
Ed
RELATED QUESTIONS
Let A be the event that a student is enrolled in an accounting course, and let S be the... (answered by oscargut)

Let A be the event that a student is enrolled in an accounting course, and let S be the... (answered by Boreal)

At a university with 1,000 business majors, there are 200 business students enrolled in... (answered by solver91311,stanbon)

At a university with 1,000 business majors, there are 200 business students enrolled... (answered by stanbon)

Let S be the event that a randomly selected college student has taken a statistics... (answered by stanbon)

Suppose that two dice are tossed. For each die, it is equally likely that 1, 2, 3, 4, 5,... (answered by ikleyn)

At a liberal arts college in the Midwest, 39% of freshman are enrolled in both a math... (answered by math_tutor2020)

A pair of die is rolled. Let A be the event that prime number appears and B be the event... (answered by Fombitz)