In this week you will learn about the contingency table, union probability, joint probability, conditional probability and the test of independence.
Use the contingency table below to find the following probabilities.
c. P(A and B)
d. P(A or B)
The employees of a company were surveyed and asked their educational background and marital status. Of the 600 employees, 400 had university degrees, 100 were single and 60 were singles with a degree.
a. Construct a contingency table for this problem.
b. Find the probability that a randomly selected employee of the company is single or has a university degree.
c. What percentage of single employees have university degrees?
d. Are marital status and educational background statistically independent? Explain.
At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male.
a. What is the probability that a student selected at random in the university is a male in the business faculty?
b. What is the probability that a student selected at random in the university is male or is in the business faculty?
c. What percentage of males are in the business faculty?