Probability of booking a banquet hall

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Problem: A dealer of several banquet halls knows from past experience that 10% of the people who visit the bookings office and talk to the salesperson will eventually book a hall. To increase the chances of success, you propose to offer a free lunch with a salesperson for all the chances of success, you propose to offer a free meal with a salesperson for all people who agree to listen to a complete sales presentation. You know that some people will do anything for a free lunch even if they don't intend to book a hall. However, some people would rather not spend a lunch with a banquet salesperson. Thus, you wish to test the effectiveness of this sales promotion incentive. The project is conducted for six months, and rest 40% of the people who made any booking had a free lunch. In addition, 10% of the people who did not book a hall had a free lunch. The specific questions to be answered are these:

Required:

Question 1: Do people who accept the lunch have a higher probability of booking a banquet hall?

Question 2: What is the probability that a person who does not accept a free lunch will book a hall?

Reference no: EM132422247

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