Like wine customers liked wine or beer. He surveyed 135 customers. The Venn diag

Question

Like wine customers liked wine or beer. He surveyed 135 customers. The Venn diagram shows his results. S. A restaurant owner carried out a survey to see if his Like bee 75 Find the value for () What can you say about the customers in the region 18 marked x? 15 (ii) If one customer is chosen at random, what is the probability they like neither wine nor beer!? Dv) One of the customers chosen at random liked wine. What is the probabilit customer also liked beer? those customers he will expect to like beer. Explain your answer. other customers. From the expected 570 customers, how many of them car (v The next month, the owner expects to serve 570 customers. Estimate how many of (v) The waitress notices that customers who like wine only give much bigger tips th an expect a big tip from? Justify your answer the wai

Explanation / Answer

(i) as total customer =135

therefore 15+75+18+x=135

x=27

(ii) x represent those customers whoi like beer as well as wine

(iii)probability =15/135=1/9 (as there are 15 such customer)

(iv)probability =27/(75+27) =27/102 (as out of 102 customer who like wine , 27 like beer too)

(v)probability of liking beer=(18+27)/135 =45/135=1/3

hence expected customer who like beer =np =570*(1/3)=190

vi)probability of liking only wine =75/135=5/9

hence ex[ected customer from whom waitress can expect a big tip =np=570*(5/9) =~317

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