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yashar806

  • 2 years 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

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  1. hartnn
    • 2 years ago
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    P(A or B) = P(A)+ P(B)-P(A and B) here, A = gasoline, B =cigarette

  2. hartnn
    • 2 years ago
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    you know all 3, P(A),P(B),P(A and B) just plug in values!

  3. yashar806
    • 2 years ago
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    0.04+0.36-?

  4. hartnn
    • 2 years ago
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    40% = 0.4 and P(G and C) is given as % = 0.09

  5. hartnn
    • 2 years ago
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    9%

  6. yashar806
    • 2 years ago
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    what about P(A and B)

  7. yashar806
    • 2 years ago
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    oh I got it

  8. hartnn
    • 2 years ago
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    what you got as final answer ?

  9. yashar806
    • 2 years ago
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    what about b ?

  10. hartnn
    • 2 years ago
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    complete question ?

  11. yashar806
    • 2 years ago
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    i got 0.67

  12. yashar806
    • 2 years ago
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    is that right?

  13. hartnn
    • 2 years ago
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    lets check, P(G or C) = 0.4+0.36-0.09 = 0.76-0.09 = 0.67 yes, you are correct :)

  14. yashar806
    • 2 years ago
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    what about b?

  15. hartnn
    • 2 years ago
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    you haven't posted question for b

  16. yashar806
    • 2 years ago
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    If we randomly select a customer, what is the probability that she purchases a drink

  17. yashar806
    • 2 years ago
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    sorry

  18. yashar806
    • 2 years ago
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    ?

  19. hartnn
    • 2 years ago
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    can you make a venn diagram for your question ?

  20. yashar806
    • 2 years ago
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    can you give me some idea?

  21. tcarroll010
    • 2 years ago
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    |dw:1362261956915:dw|

  22. hartnn
    • 2 years ago
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    yes^ from that can you find probability of drink ? just add all the values in D circle.

  23. tcarroll010
    • 2 years ago
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    Makes you wonder what the last 25% are doing. Using the washroom or casing the joint.

  24. yashar806
    • 2 years ago
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    0.35?

  25. tcarroll010
    • 2 years ago
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    That looks good to me.

  26. hartnn
    • 2 years ago
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    correct :)

  27. yashar806
    • 2 years ago
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    awesome

  28. yashar806
    • 2 years ago
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    t more quick questions

  29. yashar806
    • 2 years ago
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    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.

  30. tcarroll010
    • 2 years ago
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    You might want to go over how to do that diagram. That's a fundamental skill for these types of questions.

  31. yashar806
    • 2 years ago
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    ok thanks

  32. yashar806
    • 2 years ago
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    (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.

  33. hartnn
    • 2 years ago
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    mutually exclusive events have intersection = 0 or if P(A and B)=0, then A, B are mutually exclusive.

  34. hartnn
    • 2 years ago
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    so, do you find any such pair here ?

  35. yashar806
    • 2 years ago
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    G and D are mutually exclusive.

  36. yashar806
    • 2 years ago
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    ?

  37. hartnn
    • 2 years ago
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    G and D = 12+2 , its not 0

  38. yashar806
    • 2 years ago
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    None of the three pairs of events are mutually exclusive.

  39. hartnn
    • 2 years ago
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    yeah.

  40. yashar806
    • 2 years ago
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    what about the previous one about independent?

  41. hartnn
    • 2 years ago
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    for independent , P(A and B) = P(A)*P(B) so, you need to check this for all 3 pairs.

  42. yashar806
    • 2 years ago
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    pg and pd , i got 0.14

  43. hartnn
    • 2 years ago
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    how ?

  44. yashar806
    • 2 years ago
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    P(G or D)=0.61

  45. yashar806
    • 2 years ago
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    Pg is 0.4

  46. yashar806
    • 2 years ago
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    14% of customers purchase a gasoline and a drink P(g and d)so it;s going to be 0.14

  47. hartnn
    • 2 years ago
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    'or' ?? you need to use 'and'

  48. hartnn
    • 2 years ago
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    P(g and d)so it;s going to be 0.14 is correct

  49. yashar806
    • 2 years ago
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    so?

  50. yashar806
    • 2 years ago
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    G and C we have 0.65

  51. hartnn
    • 2 years ago
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    is that = p(g)*p(d) ??

  52. yashar806
    • 2 years ago
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    oh no

  53. hartnn
    • 2 years ago
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    then G and D are not independent.

  54. yashar806
    • 2 years ago
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    0.144?

  55. hartnn
    • 2 years ago
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    similar check for other 2 pairs.

  56. yashar806
    • 2 years ago
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    why they are not independent?

  57. yashar806
    • 2 years ago
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    0.216

  58. yashar806
    • 2 years ago
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    so None of the three pairs of events are independent.

  59. hartnn
    • 2 years ago
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    yeah

  60. yashar806
    • 2 years ago
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    ok last question, i actually got the answer could you help me to check it?

  61. hartnn
    • 2 years ago
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    yes?

  62. yashar806
    • 2 years ago
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    What is P(C Dc), i.e., the probability that a randomly selected customer purchases cigarettes but not a drink?

  63. yashar806
    • 2 years ago
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    i got 0.21

  64. hartnn
    • 2 years ago
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    correct :)

  65. yashar806
    • 2 years ago
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    thank you very much?

  66. hartnn
    • 2 years ago
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    welcome?

  67. yashar806
    • 2 years ago
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    wait

  68. yashar806
    • 2 years ago
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    for this part

  69. yashar806
    • 2 years ago
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    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.

  70. yashar806
    • 2 years ago
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    answer is not None of the three pairs of events are independent

  71. yashar806
    • 2 years ago
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    ?

  72. hartnn
    • 2 years ago
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    i didn't calculate for all 3, but looking at numbers, i think its None...

  73. yashar806
    • 2 years ago
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    yeah, but its not.

  74. yashar806
    • 2 years ago
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    can you help me to check it please?

  75. hartnn
    • 2 years ago
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    i still get none :( lets have a 2nd opinion by @tcarroll010

  76. yashar806
    • 2 years ago
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    help me on this one

  77. yashar806
    • 2 years ago
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    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.

  78. yashar806
    • 2 years ago
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    im not sure, what are independent

  79. Mertsj
    • 2 years ago
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    Independent means that the occurrence of one does not affect the probability of the other.

  80. Mertsj
    • 2 years ago
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    Is there just one answer?

  81. yashar806
    • 2 years ago
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    in this one, what are independent

  82. yashar806
    • 2 years ago
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    yeah, they are multiple choice

  83. Mertsj
    • 2 years ago
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    Then I guess I would choose G and C

  84. yashar806
    • 2 years ago
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    why?

  85. yashar806
    • 2 years ago
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    can you explain it?

  86. Mertsj
    • 2 years ago
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    Because I can't see how one affects the other.

  87. yashar806
    • 2 years ago
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    answer is wrong

  88. Mertsj
    • 2 years ago
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    Do you get another chance?

  89. yashar806
    • 2 years ago
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    yes last chance

  90. Mertsj
    • 2 years ago
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    And you already tried "none"?

  91. yashar806
    • 2 years ago
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    yes

  92. Mertsj
    • 2 years ago
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    So it's a 50-50 chance. Let's see if we can pick out any difference in the two remaining choices.

  93. Mertsj
    • 2 years ago
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    C & D don't mention the same commodity. If I had to guess, (and I would be guessing) that's what I would put.

  94. yashar806
    • 2 years ago
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    my queststion is this

  95. yashar806
    • 2 years ago
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    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

  96. yashar806
    • 2 years ago
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    cuz , we are not sure

  97. bambimonster
    • one year ago
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    Hey so what did u get in the end? Is it c and d

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