Maison Premiere is a famous bar in New York City. Based off past data, managemen

Question

Maison Premiere is a famous bar in New York City. Based off past data, management knows 54% of customers buy mixed drinks and 56% of their customers order appetizers. Analysis has shown that 26% of customers buy both a drink and an appetizer 17% of customers also order dessert but seems to be independent of whether they order appetizers or drinks. (Organize the information before starting parts a through f Let D-buys a drink, A- orders an appetizer, S-orders dessert. (Enter all answers rounded to 4 decimals) a) Suppose a customer bought a drink. What is the probability the customer will order an appetizer? b) fa customer ordered an appetizer, what is the probability that the customer will buy a drink? C) Suppose a customer bought a drink. What is the probability that customer does not buy an appetizer? d) Given a customer ordered dessert, what's the probability they order an appetizer? e What's the probability a customer orders a dessert and appetizer? What's the probability the customer buys a drink or an appetizer?

Explanation / Answer

a)P(A|D)=P(A n D)/P(D)=0.26/0.54=0.4815

b) P(D|A)=0.26/0.56=0.4643

c)P(A'|D)=1-P(A|D)=1-0.4815=0.5185

d)P(A|S)=P(A)=0.56

e)P(P(S and A)=0.17*0.56=0.0952

f)

P(D u A)=P(D)+P(A)-P(D n A)=0.54+0.56-0.26=0.84

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