Results 1 to 4 of 4

Math Help - Discrete probability distribution

  1. #1
    Newbie
    Joined
    Jul 2011
    Posts
    4

    Discrete probability distribution

    A hotel gets cars for its guests from three rental agencies, 34% agency A, 46% agency B,20% agency C.If 5% of the cars from A, 8% of the cars from B, and 10% of the cars from C need tune-ups, find probability
    i) a car needing a tune-up will be delivered to one of the guess.
    ii) if a car needing a tune up is delivered to one of the guests, it came from agency B.

    who can help me solve this question. thanks ><
    Last edited by mr fantastic; July 6th 2011 at 02:45 PM. Reason: Re-titled.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    May 2011
    From
    Islamabad
    Posts
    94

    Re: Probability Question

    From given information 1.7 % from A , 3.68 % from B and 2% from C need tuning. So total 7.38 % , therefore

    (i) Probability = 0.00738 and

    (ii) Probability = 0.00368
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    May 2010
    Posts
    1,027
    Thanks
    28

    Re: Probability Question

    Quote Originally Posted by waqarhaider
    From given information 1.7 % from A , 3.68 % from B and 2% from C need tuning. So total 7.38 % , therefore

    (i) Probability = 0.00738 and

    (ii) Probability = 0.00368
    Im not sure those answers are correct.


    Quote Originally Posted by JWEI
    A hotel gets cars for its guests from three rental agencies, 34% agency A, 46% agency B,20% agency C.If 5% of the cars from A, 8% of the cars from B, and 10% of the cars from C need tune-ups, find probability
    i) a car needing a tune-up will be delivered to one of the guess.
    ii) if a car needing a tune up is delivered to one of the guests, it came from agency B.

    who can help me solve this question. thanks ><
    Events:
    A = Car from garage A
    B = Car from garage B
    C = Car from garage C
    T = Car Needs tune up

    i) a car needing a tune-up will be delivered to one of the guests.
    P(T) = P(A \cap T) + P(B \cap T) + P(C \cap T)
    P(T) = (0.34*0.05) + (0.46 * 0.08) + (0.2*0.1) = 0.0738 (note only 1 zero after the decimal)



    ii) if a car needing a tune up is delivered to one of the guests, it came from agency B.
    use the formula for conditional probability
    P(B|T) = \frac{P(B \cap T)}{P(T)}

    P(B|T) = \frac{0.46 * 0.08}{0.0738} = 0.4985
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jul 2011
    Posts
    4

    Re: Probability Question

    Quote Originally Posted by SpringFan25 View Post
    Im not sure those answers are correct.


    Events:
    A = Car from garage A
    B = Car from garage B
    C = Car from garage C
    T = Car Needs tune up

    i) a car needing a tune-up will be delivered to one of the guests.
    P(T) = P(A \cap T) + P(B \cap T) + P(C \cap T)
    P(T) = (0.34*0.05) + (0.46 * 0.08) + (0.2*0.1) = 0.0738 (note only 1 zero after the decimal)



    ii) if a car needing a tune up is delivered to one of the guests, it came from agency B.
    use the formula for conditional probability
    P(B|T) = \frac{P(B \cap T)}{P(T)}

    P(B|T) = \frac{0.46 * 0.08}{0.0738} = 0.4985
    SpringFan25~ Thx for your help!! ^^
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Discrete Probability Distribution III
    Posted in the Statistics Forum
    Replies: 1
    Last Post: October 14th 2010, 06:14 AM
  2. Discrete Probability Distribution II
    Posted in the Statistics Forum
    Replies: 3
    Last Post: October 14th 2010, 03:27 AM
  3. Discrete Probability Distribution
    Posted in the Statistics Forum
    Replies: 4
    Last Post: October 14th 2010, 03:18 AM
  4. Discrete Probability Distribution II
    Posted in the Statistics Forum
    Replies: 3
    Last Post: November 24th 2009, 08:23 AM
  5. Discrete Probability Distribution
    Posted in the Statistics Forum
    Replies: 3
    Last Post: November 24th 2009, 07:40 AM

/mathhelpforum @mathhelpforum