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Math Help - Can anybody solve the conditional probability mentioned below

  1. #1
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    Can anybody solve the conditional probability mentioned below

    In a recent survey of college students, students where asked about their use of the Internet for research. The information was displayed in the table below. Let A be the event that the student was a business major. Let B be the event that the student uses the Internet for research.
    Use Internet for research Donít Use Internet
    Business Students 0.38 0.22
    Education Students 0.25 0.15





    1)Which of the following is true?
    A) P(A | B) < P(B | A).
    B) P(A | ) > P(B | ).
    C) P(A B) = 0.85.
    D) Events A and B are statistically independent.

    2)Which of the following is true?
    A) P(A | B) = 0.81
    B) P(A ) = 0.16
    C) Events A and B are statistically independent.
    D) D) P( | ) = 0.375





    Thanks in advance
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  2. #2
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    Quote Originally Posted by sgk1980 View Post
    In a recent survey of college students, students where asked about their use of the Internet for research. The information was displayed in the table below. Let A be the event that the student was a business major. Let B be the event that the student uses the Internet for research.

    Code:
    	            Use Internet for research  Don’t Use Internet
    Business Students       0.38	                0.22
    Education Students	0.25	                0.15



    1)Which of the following is true?
    A) P(A | B) < P(B | A).
    For P(A|B) we are using the first column of the table, so:

    P(A|B)=0.38/(0.38+0.25)

    For P(B|A) we use the first row of the table so:

    P(B|A)=...

    CB
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  3. #3
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    Hi Giordano Bruno ,thanks for your reply.sorry I did n't check the options while copying & pasting. now I gave all the options with full details .can you please help me out in solving these 2 problems.



    24. Which of the following is true?


    A)P(A | B< P(B | A).
    _ _

    B)P(A | B) > P(B | A).
    C)P(A|B) = 0.85.
    D)Events A and B are statistically independent.

    25. Which of the following is true?
    A)P(A | B) = 0.81
    _

    B)P(A | B) = 0.16
    C)Events A and B are statistically independent.

    _ _
    D) P(B | A) = 0.375
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  4. #4
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    Hi Giordano Bruno ,thanks for your reply.sorry I did n't check the options while copying & pasting. now I gave all the options with full details .can you please help me out in solving these 2 problems.



    24. Which of the following is true?


    A)P(A | B< P(B | A).
    B)P(A | B complement) > P(B | A complement).
    C)P(A|B) = 0.85.
    D)Events A and B are statistically independent.

    25. Which of the following is true?
    A)P(A | B) = 0.81

    B)P(A | B complement) = 0.16
    C)Events A and B are statistically independent.

    D) P(B complement| A complement) = 0.375
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