A telephone solicitor is responsible for canvassing three suburbs. In the past, 60% of the completed calls to Belle Meade have resulted in c

Question

A telephone solicitor is responsible for canvassing three suburbs. In the past, 60% of the completed calls to Belle Meade have resulted in contributions, compared to 55% for Oak Hill and 35% for Antioch. Her list of tele- phone numbers includes one thousand households from Belle Meade, one thousand from Oak Hill, and two thou- sand from Antioch. Suppose that she picks a number at random from the list and places the call. What is the probability that she gets a donation?

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Peyton 3 weeks 2021-12-29T01:01:04+00:00 1 Answer 0 views 0

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    2021-12-29T01:02:24+00:00

    Answer:

    0.4625 or 46.25%

    Step-by-step explanation:

    The data for the percentage of contribution and the percentage of numbers from each suburb is presented in the table bellow:

    \begin{array}{ccc}&Contribution (C)&Number(N)\\Belle\ Mead&0.60&0.25\\Oak\ Hill&0.55&0.25\\Antioch&0.35&0.5\end{array}

    The probability that she gets a donation is given by the sum of the probabilities of getting a donation from each suburb weighed by their respective percentage of numbers of the list:

    P(C) = P(C_B)+P(C_O)+P(C_A)\\P(C) =0.6*0.25+0.55*0.25+0.35*0.5\\P(C) = 0.4625

    The probability that she gets a donation is 0.4625 or 46.25%.

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45:7+7-4:2-5:5*4+35:2 =? ( )