anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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hartnn
  • hartnn
P(A or B) = P(A)+ P(B)-P(A and B) here, A = gasoline, B =cigarette
hartnn
  • hartnn
you know all 3, P(A),P(B),P(A and B) just plug in values!
anonymous
  • anonymous
0.04+0.36-?

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More answers

hartnn
  • hartnn
40% = 0.4 and P(G and C) is given as % = 0.09
hartnn
  • hartnn
9%
anonymous
  • anonymous
what about P(A and B)
anonymous
  • anonymous
oh I got it
hartnn
  • hartnn
what you got as final answer ?
anonymous
  • anonymous
what about b ?
hartnn
  • hartnn
complete question ?
anonymous
  • anonymous
i got 0.67
anonymous
  • anonymous
is that right?
hartnn
  • hartnn
lets check, P(G or C) = 0.4+0.36-0.09 = 0.76-0.09 = 0.67 yes, you are correct :)
anonymous
  • anonymous
what about b?
hartnn
  • hartnn
you haven't posted question for b
anonymous
  • anonymous
If we randomly select a customer, what is the probability that she purchases a drink
anonymous
  • anonymous
sorry
anonymous
  • anonymous
?
hartnn
  • hartnn
can you make a venn diagram for your question ?
anonymous
  • anonymous
can you give me some idea?
anonymous
  • anonymous
|dw:1362261956915:dw|
hartnn
  • hartnn
yes^ from that can you find probability of drink ? just add all the values in D circle.
anonymous
  • anonymous
Makes you wonder what the last 25% are doing. Using the washroom or casing the joint.
anonymous
  • anonymous
0.35?
anonymous
  • anonymous
That looks good to me.
hartnn
  • hartnn
correct :)
anonymous
  • anonymous
awesome
anonymous
  • anonymous
t more quick questions
anonymous
  • anonymous
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.
anonymous
  • anonymous
You might want to go over how to do that diagram. That's a fundamental skill for these types of questions.
anonymous
  • anonymous
ok thanks
anonymous
  • anonymous
(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.
hartnn
  • hartnn
mutually exclusive events have intersection = 0 or if P(A and B)=0, then A, B are mutually exclusive.
hartnn
  • hartnn
so, do you find any such pair here ?
anonymous
  • anonymous
G and D are mutually exclusive.
anonymous
  • anonymous
?
hartnn
  • hartnn
G and D = 12+2 , its not 0
anonymous
  • anonymous
None of the three pairs of events are mutually exclusive.
hartnn
  • hartnn
yeah.
anonymous
  • anonymous
what about the previous one about independent?
hartnn
  • hartnn
for independent , P(A and B) = P(A)*P(B) so, you need to check this for all 3 pairs.
anonymous
  • anonymous
pg and pd , i got 0.14
hartnn
  • hartnn
how ?
anonymous
  • anonymous
P(G or D)=0.61
anonymous
  • anonymous
Pg is 0.4
anonymous
  • anonymous
14% of customers purchase a gasoline and a drink P(g and d)so it;s going to be 0.14
hartnn
  • hartnn
'or' ?? you need to use 'and'
hartnn
  • hartnn
P(g and d)so it;s going to be 0.14 is correct
anonymous
  • anonymous
so?
anonymous
  • anonymous
G and C we have 0.65
hartnn
  • hartnn
is that = p(g)*p(d) ??
anonymous
  • anonymous
oh no
hartnn
  • hartnn
then G and D are not independent.
anonymous
  • anonymous
0.144?
hartnn
  • hartnn
similar check for other 2 pairs.
anonymous
  • anonymous
why they are not independent?
anonymous
  • anonymous
0.216
anonymous
  • anonymous
so None of the three pairs of events are independent.
hartnn
  • hartnn
yeah
anonymous
  • anonymous
ok last question, i actually got the answer could you help me to check it?
hartnn
  • hartnn
yes?
anonymous
  • anonymous
What is P(C Dc), i.e., the probability that a randomly selected customer purchases cigarettes but not a drink?
anonymous
  • anonymous
i got 0.21
hartnn
  • hartnn
correct :)
anonymous
  • anonymous
thank you very much?
hartnn
  • hartnn
welcome?
anonymous
  • anonymous
wait
anonymous
  • anonymous
for this part
anonymous
  • anonymous
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.
anonymous
  • anonymous
answer is not None of the three pairs of events are independent
anonymous
  • anonymous
?
hartnn
  • hartnn
i didn't calculate for all 3, but looking at numbers, i think its None...
anonymous
  • anonymous
yeah, but its not.
anonymous
  • anonymous
can you help me to check it please?
hartnn
  • hartnn
i still get none :( lets have a 2nd opinion by @tcarroll010
anonymous
  • anonymous
help me on this one
anonymous
  • anonymous
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.
anonymous
  • anonymous
im not sure, what are independent
Mertsj
  • Mertsj
Independent means that the occurrence of one does not affect the probability of the other.
Mertsj
  • Mertsj
Is there just one answer?
anonymous
  • anonymous
in this one, what are independent
anonymous
  • anonymous
yeah, they are multiple choice
Mertsj
  • Mertsj
Then I guess I would choose G and C
anonymous
  • anonymous
why?
anonymous
  • anonymous
can you explain it?
Mertsj
  • Mertsj
Because I can't see how one affects the other.
anonymous
  • anonymous
answer is wrong
Mertsj
  • Mertsj
Do you get another chance?
anonymous
  • anonymous
yes last chance
Mertsj
  • Mertsj
And you already tried "none"?
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
So it's a 50-50 chance. Let's see if we can pick out any difference in the two remaining choices.
Mertsj
  • Mertsj
C & D don't mention the same commodity. If I had to guess, (and I would be guessing) that's what I would put.
anonymous
  • anonymous
my queststion is this
anonymous
  • anonymous
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
anonymous
  • anonymous
cuz , we are not sure
bambimonster
  • bambimonster
Hey so what did u get in the end? Is it c and d

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