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The manager of a gas station and convenience store tabulates the following facts:
40% of customers purchase gasoline (G).
36% of customers purchase cigarettes (C).
61% of customers purchase gasoline or a drink (D).
9% of customers purchase gasoline and cigarettes.
14% of customers purchase a gasoline and a drink.
15% of customers purchase cigarettes and a drink.
2% of customers purchase all three items.
(a) If we randomly select a customer, what is the probability that she purchases gasoline or cigarettes?
(b) If we randomly select a customer, what is the probability that
 one year ago
 one year ago
The manager of a gas station and convenience store tabulates the following facts: 40% of customers purchase gasoline (G). 36% of customers purchase cigarettes (C). 61% of customers purchase gasoline or a drink (D). 9% of customers purchase gasoline and cigarettes. 14% of customers purchase a gasoline and a drink. 15% of customers purchase cigarettes and a drink. 2% of customers purchase all three items. (a) If we randomly select a customer, what is the probability that she purchases gasoline or cigarettes? (b) If we randomly select a customer, what is the probability that
 one year ago
 one year ago

This Question is Closed

hartnnBest ResponseYou've already chosen the best response.3
P(A or B) = P(A)+ P(B)P(A and B) here, A = gasoline, B =cigarette
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
you know all 3, P(A),P(B),P(A and B) just plug in values!
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
40% = 0.4 and P(G and C) is given as % = 0.09
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
what about P(A and B)
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
what you got as final answer ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
lets check, P(G or C) = 0.4+0.360.09 = 0.760.09 = 0.67 yes, you are correct :)
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
you haven't posted question for b
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
If we randomly select a customer, what is the probability that she purchases a drink
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
can you make a venn diagram for your question ?
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
can you give me some idea?
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.1
dw:1362261956915:dw
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
yes^ from that can you find probability of drink ? just add all the values in D circle.
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.1
Makes you wonder what the last 25% are doing. Using the washroom or casing the joint.
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.1
That looks good to me.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
t more quick questions
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
Which of the following statements is true? G and D are independent. G and C are independent. C and D are independent. None of the three pairs of events are independent.
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.1
You might want to go over how to do that diagram. That's a fundamental skill for these types of questions.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
(d) Which of the following statements is true? C and D are mutually exclusive. G and D are mutually exclusive. G and C are mutually exclusive. None of the three pairs of events are mutually exclusive.
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
mutually exclusive events have intersection = 0 or if P(A and B)=0, then A, B are mutually exclusive.
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
so, do you find any such pair here ?
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
G and D are mutually exclusive.
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
G and D = 12+2 , its not 0
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
None of the three pairs of events are mutually exclusive.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
what about the previous one about independent?
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
for independent , P(A and B) = P(A)*P(B) so, you need to check this for all 3 pairs.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
pg and pd , i got 0.14
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
14% of customers purchase a gasoline and a drink P（g and d）so it;s going to be 0.14
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
'or' ?? you need to use 'and'
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
P（g and d）so it;s going to be 0.14 is correct
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
G and C we have 0.65
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
then G and D are not independent.
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
similar check for other 2 pairs.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
why they are not independent?
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
so None of the three pairs of events are independent.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
ok last question, i actually got the answer could you help me to check it?
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
What is P(C Dc), i.e., the probability that a randomly selected customer purchases cigarettes but not a drink?
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
thank you very much?
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
Which of the following statements is true? G and D are independent. G and C are independent. C and D are independent. None of the three pairs of events are independent.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
answer is not None of the three pairs of events are independent
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
i didn't calculate for all 3, but looking at numbers, i think its None...
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
can you help me to check it please?
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
i still get none :( lets have a 2nd opinion by @tcarroll010
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
Which of the following statements is true? G and D are independent. G and C are independent. C and D are independent. None of the three pairs of events are independent.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
im not sure, what are independent
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
Independent means that the occurrence of one does not affect the probability of the other.
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
Is there just one answer?
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
in this one, what are independent
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
yeah, they are multiple choice
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
Then I guess I would choose G and C
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
Because I can't see how one affects the other.
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
Do you get another chance?
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
And you already tried "none"?
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
So it's a 5050 chance. Let's see if we can pick out any difference in the two remaining choices.
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
C & D don't mention the same commodity. If I had to guess, (and I would be guessing) that's what I would put.
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
my queststion is this
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
Which of the following statements is true? G and D are independent. G and C are independent. C and D are independent. None of the three pairs of events are independent
 one year ago

yashar806Best ResponseYou've already chosen the best response.0
cuz , we are not sure
 one year ago

bambimonsterBest ResponseYou've already chosen the best response.0
Hey so what did u get in the end? Is it c and d
 8 months ago
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