According to a survey of restaurant owners in the U.S. by Must Have Menus, 77% of restaurant owners believe that they need to use social media as a marketing tool. A different survey by the National Restaurant owners revealed that 80% of restaurant owners started their careers at entry-level positions. Suppose that 83% of restaurant owners who started their careers at entry-level positions believe that they need to use social media as a marketing tool. Assuming that these percentages apply to all restaurant owners, if a restaurant owner is randomly selected,

a. What is the probability that the owner does believe that he/she needs to use social media as a marketing tool and did start his/her career at an entry-level position?

b. What is the probability that an owner either believes that he/she needs to use social media as a marketing tool or he/she did start his/her career at an entry-level position?

c. What is the probability that the owner does not believe that he/she needs to use social media as a marketing tool given that he/she did start his/her career at an entry-level position?

d. What is the probability that the owner does believe that he/she needs to use social media as a marketing tool given that he/she did not start his/her career at an entry-level position?

e. What is the probability that the owner did not start his/her career at an entry-level position given that he/she does not believe he/she needs to use social media as a marketing tool?