Statıstıcs I Deneme Sınavı Sorusu #821342
A manager of a café in a university campus assesses its customers as student, academic staff or visitor. She estimates that of all its customers 50% are students, 30% are academic staff and that 20% are visitors. It is known that purchases are made by 70% of student customers, by 60% of academic staff and by 30% of visitors. If a randomly chosen customer makes a purchase, what is the probability that this customer is a student?
|
0,74 |
|
0,54 |
|
0,59 |
|
0,95 |
|
0,059 |
Yanıt Açıklaması:
Define the following events
S: Customer is a student
A: Customer is academic staff
V: Customer is a visitor
B: Customer makes a purchase
Then we need to find P(S?B), which is given by, P(S?B)=P(B?S)P(S)/P(B?S)P(S)+ P(B?A) P(A)+ P(B?V)P(V) = 0.35/0.59 ? 0.593
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