Answer to Question #47840 in Economics of Enterprise for Imran

Question

The annual report of the U.S. Bureau of Labor Statistics lists the number of employees who receive various types of benefits. From the information in the January 1999 report, the following probabilities were derived.
Type of Worker Dental Care Provided by Employer Dental Care Not Provided by Employer
Professional/Technical 0.166 0.094
Clerical/Sales 0.195 0.135
Blue-Collar/Services 0.230 0.180
Let D be the event that a randomly selected employee has dental care provided by their employer.
Let B be the event that a randomly selected employee is a blue-collar/services employee.
A) What is P (B)?
B) What is the probability of the complement of B?
C) What is P (D)?
D) What is P (B and D)?
E) What is P (B or D)?
F) What is P (D|B)?
G) Are B and D independent? Provide calculations that justify you