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Math Help - Average number, determine probability

  1. #1
    Pur
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    Average number, determine probability

    " Suppose the average number of cars abandoned weekly on a certain highway is 2.2. Approximate
    i) no abandoned cars in next week
    ii) at least 2 abandoned in the next week
    "

    From the question we know that if X denotes the number of abandoned cars on the road then E(X)=2.2 and that since this is discrete:
    <br />
E(X)=\sum_{i=0}^{\infty}x_iP(X=x_i)=2.2

    and we want to find
    <br />
P(X=0), P(X \geq 2)=1-P(X<2)
    But we dont know what type of distribution this is...any help would be appreciated.
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  2. #2
    Flow Master
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    Quote Originally Posted by Pur View Post
    " Suppose the average number of cars abandoned weekly on a certain highway is 2.2. Approximate
    i) no abandoned cars in next week
    ii) at least 2 abandoned in the next week
    "

    From the question we know that if X denotes the number of abandoned cars on the road then E(X)=2.2 and that since this is discrete:
    <br />
E(X)=\sum_{i=0}^{\infty}x_iP(X=x_i)=2.2

    and we want to find
    <br />
P(X=0), P(X \geq 2)=1-P(X<2)
    But we dont know what type of distribution this is...any help would be appreciated.
    Perhaps you're meant to assume a Poisson distribution ....?
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