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yashar806 Group Title

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

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  1. hartnn Group Title
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    P(A or B) = P(A)+ P(B)-P(A and B) here, A = gasoline, B =cigarette

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

    • one year ago
  3. yashar806 Group Title
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    0.04+0.36-?

    • one year ago
  4. hartnn Group Title
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    40% = 0.4 and P(G and C) is given as % = 0.09

    • one year ago
  5. hartnn Group Title
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    9%

    • one year ago
  6. yashar806 Group Title
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    what about P(A and B)

    • one year ago
  7. yashar806 Group Title
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    oh I got it

    • one year ago
  8. hartnn Group Title
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    what you got as final answer ?

    • one year ago
  9. yashar806 Group Title
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    what about b ?

    • one year ago
  10. hartnn Group Title
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    complete question ?

    • one year ago
  11. yashar806 Group Title
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    i got 0.67

    • one year ago
  12. yashar806 Group Title
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    is that right?

    • one year ago
  13. hartnn Group Title
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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 :)

    • one year ago
  14. yashar806 Group Title
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    what about b?

    • one year ago
  15. hartnn Group Title
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    you haven't posted question for b

    • one year ago
  16. yashar806 Group Title
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    If we randomly select a customer, what is the probability that she purchases a drink

    • one year ago
  17. yashar806 Group Title
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    sorry

    • one year ago
  18. yashar806 Group Title
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    ?

    • one year ago
  19. hartnn Group Title
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    can you make a venn diagram for your question ?

    • one year ago
  20. yashar806 Group Title
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    can you give me some idea?

    • one year ago
  21. tcarroll010 Group Title
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    |dw:1362261956915:dw|

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

    • one year ago
  23. tcarroll010 Group Title
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    Makes you wonder what the last 25% are doing. Using the washroom or casing the joint.

    • one year ago
  24. yashar806 Group Title
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    0.35?

    • one year ago
  25. tcarroll010 Group Title
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    That looks good to me.

    • one year ago
  26. hartnn Group Title
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    correct :)

    • one year ago
  27. yashar806 Group Title
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    awesome

    • one year ago
  28. yashar806 Group Title
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    t more quick questions

    • one year ago
  29. yashar806 Group Title
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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.

    • one year ago
  30. tcarroll010 Group Title
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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.

    • one year ago
  31. yashar806 Group Title
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    ok thanks

    • one year ago
  32. yashar806 Group Title
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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.

    • one year ago
  33. hartnn Group Title
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    mutually exclusive events have intersection = 0 or if P(A and B)=0, then A, B are mutually exclusive.

    • one year ago
  34. hartnn Group Title
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    so, do you find any such pair here ?

    • one year ago
  35. yashar806 Group Title
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    G and D are mutually exclusive.

    • one year ago
  36. yashar806 Group Title
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    ?

    • one year ago
  37. hartnn Group Title
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    G and D = 12+2 , its not 0

    • one year ago
  38. yashar806 Group Title
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    None of the three pairs of events are mutually exclusive.

    • one year ago
  39. hartnn Group Title
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    yeah.

    • one year ago
  40. yashar806 Group Title
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    what about the previous one about independent?

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

    • one year ago
  42. yashar806 Group Title
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    pg and pd , i got 0.14

    • one year ago
  43. hartnn Group Title
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    how ?

    • one year ago
  44. yashar806 Group Title
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    P(G or D)=0.61

    • one year ago
  45. yashar806 Group Title
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    Pg is 0.4

    • one year ago
  46. yashar806 Group Title
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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

    • one year ago
  47. hartnn Group Title
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    'or' ?? you need to use 'and'

    • one year ago
  48. hartnn Group Title
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    P(g and d)so it;s going to be 0.14 is correct

    • one year ago
  49. yashar806 Group Title
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    so?

    • one year ago
  50. yashar806 Group Title
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    G and C we have 0.65

    • one year ago
  51. hartnn Group Title
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    is that = p(g)*p(d) ??

    • one year ago
  52. yashar806 Group Title
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    oh no

    • one year ago
  53. hartnn Group Title
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    then G and D are not independent.

    • one year ago
  54. yashar806 Group Title
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    0.144?

    • one year ago
  55. hartnn Group Title
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    similar check for other 2 pairs.

    • one year ago
  56. yashar806 Group Title
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    why they are not independent?

    • one year ago
  57. yashar806 Group Title
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    0.216

    • one year ago
  58. yashar806 Group Title
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    so None of the three pairs of events are independent.

    • one year ago
  59. hartnn Group Title
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    yeah

    • one year ago
  60. yashar806 Group Title
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    ok last question, i actually got the answer could you help me to check it?

    • one year ago
  61. hartnn Group Title
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    yes?

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

    • one year ago
  63. yashar806 Group Title
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    i got 0.21

    • one year ago
  64. hartnn Group Title
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    correct :)

    • one year ago
  65. yashar806 Group Title
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    thank you very much?

    • one year ago
  66. hartnn Group Title
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    welcome?

    • one year ago
  67. yashar806 Group Title
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    wait

    • one year ago
  68. yashar806 Group Title
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    for this part

    • one year ago
  69. yashar806 Group Title
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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.

    • one year ago
  70. yashar806 Group Title
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    answer is not None of the three pairs of events are independent

    • one year ago
  71. yashar806 Group Title
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    ?

    • one year ago
  72. hartnn Group Title
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    i didn't calculate for all 3, but looking at numbers, i think its None...

    • one year ago
  73. yashar806 Group Title
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    yeah, but its not.

    • one year ago
  74. yashar806 Group Title
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    can you help me to check it please?

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

    • one year ago
  76. yashar806 Group Title
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    help me on this one

    • one year ago
  77. yashar806 Group Title
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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.

    • one year ago
  78. yashar806 Group Title
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    im not sure, what are independent

    • one year ago
  79. Mertsj Group Title
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    Independent means that the occurrence of one does not affect the probability of the other.

    • one year ago
  80. Mertsj Group Title
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    Is there just one answer?

    • one year ago
  81. yashar806 Group Title
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    in this one, what are independent

    • one year ago
  82. yashar806 Group Title
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    yeah, they are multiple choice

    • one year ago
  83. Mertsj Group Title
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    Then I guess I would choose G and C

    • one year ago
  84. yashar806 Group Title
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    why?

    • one year ago
  85. yashar806 Group Title
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    can you explain it?

    • one year ago
  86. Mertsj Group Title
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    Because I can't see how one affects the other.

    • one year ago
  87. yashar806 Group Title
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    answer is wrong

    • one year ago
  88. Mertsj Group Title
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    Do you get another chance?

    • one year ago
  89. yashar806 Group Title
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    yes last chance

    • one year ago
  90. Mertsj Group Title
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    And you already tried "none"?

    • one year ago
  91. yashar806 Group Title
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    yes

    • one year ago
  92. Mertsj Group Title
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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.

    • one year ago
  93. Mertsj Group Title
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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.

    • one year ago
  94. yashar806 Group Title
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    my queststion is this

    • one year ago
  95. yashar806 Group Title
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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

    • one year ago
  96. yashar806 Group Title
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    cuz , we are not sure

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

    • 11 months ago
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