The table shows the result of a restaurant survey.
Meals Service Good Service poor Total
Lunch 49 39 88
Dinner 19 15 34
Total 68 54 122
Find the probability the service was poor, given that the meal was dinner.
I don't know where to begin!
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OpenStudy (anonymous):
Ok, at dinner, how many people said the service was poor?
OpenStudy (anonymous):
15
OpenStudy (anonymous):
Out of how many total?
OpenStudy (anonymous):
122
OpenStudy (anonymous):
Were just looking at dinner, 122 is the total for lunch plus dinner.
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OpenStudy (anonymous):
ok, then 34
OpenStudy (anonymous):
Yep, so the probability is 15/34
OpenStudy (anonymous):
Really, that is all that it is asking?
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
I wish I was better at this math stuff! thanks!
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OpenStudy (anonymous):
You're welcome
OpenStudy (anonymous):
Let A = the service was poor
Let B = the meal was dinner
we are looking for the conditional probability of A given B, which is
P(A|B)=P(A∩B)P(B)
What is the probability that the meal was dinner and poor? What is the meal was dinner?
OpenStudy (anonymous):
This however is not my answer, I have to give credit to TuringTest honorary professor of mathematics
OpenStudy (anonymous):
ask if you have question I finally understand it now ;)