According to a survey of restaurant owners in the U.S. by MustHaveMenus, 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? (Round answer to 3 decimal places)

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? (Round answer to 3 decimal places)

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? (Round your answer to 2 decimal places)

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? (Round your answer to 2 decimal places)

e. What is the probability that the owner did not start his/her career at an entrylevel position given that he/she does not believe he/she needs to use social media as a marketing tool? (Round your answer to 4 decimal places)

a. 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? (Round answer to 3 decimal places)

=[tex]80%(83%)\\= 0.664[/tex]

b)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? (Round answer to 3 decimal places)

=[tex]0.77+0.80-(0.80)(0.83)\\= 1.57-0.664\\=0.906[/tex]=0.91

c. 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? (Round your answer to 2 decimal places)

=[tex](1-0.77)(0.80)/0.80)\\= 0.23[/tex]

d. 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? (Round your answer to 2 decimal places)

=[tex](1-0.80)(0.77)/0.20 = 0.77\\[/tex]

e. the probability that the owner did not start his/her career at an entrylevel position given that he/she does not believe he/she needs to use social media as a marketing tool? (Round your answer to 4 decimal places)

=[tex]0.20*0.17/0.23\\=0.1478[/tex]