Is a female and does not order a dessert

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The owner of a restaurant serving Continental-style entrées was interested in studying ordering patterns of patrons for the weekend period. Records were maintained that indicated the demand for dessert during the same period. The owner decided to study two other variables, along with whether a dessert was ordered: the gender of the individual and whether a beef entrée was ordered. The results for 600 customers are as follows:

 

Gender

Dessert Ordered

Male

Female

YES

96

40

NO

224

240

 

 

Beef Entrée

Dessert Ordered

YES

NO

YES

71

65

NO

116

348

(Note: these two tables are for the same 600 customers).

(i) For a randomly select customer, what is the probability that this customer

(a)    Orders a dessert?

(b)   Orders a dessert or a beef entrée?

(c)    Is a female and does not order a dessert?

(d)   Does not order dessert given that this person is a lady?

(ii)                 

(a)    Are gender and ordering dessert independent? Why or Why not?

(b)   Is ordering a beef entrée independent of whether the person orders dessert? Why or Why not?

Reference no: EM13954714

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