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Math Help - emperical probability problem

  1. #1
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    emperical probability problem

    the probability that an insurance agent will sell a life insurance policy to someone who has been randomly selected from the telephone directory is 0.15. if an insurance agent calls 6 persons, what is the probability that he will sell no fewer than 4 policies?

    i have tried to sort this problem out but no way, pls help!
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  2. #2
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    Re: emperical probability problem

    Quote Originally Posted by lawochekel View Post
    the probability that an insurance agent will sell a life insurance policy to someone who has been randomly selected from the telephone directory is 0.15. if an insurance agent calls 6 persons, what is the probability that he will sell no fewer than 4 policies?
    The probability that he sells to exactly k people is \binom{6}{k}(0.15)^k(0.85)^{6-k}.
    Now find out the values k=4,~5,~6 and add.
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  3. #3
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    Re: emperical probability problem

    Hello, lawochekel!

    the probability that an insurance agent will sell a life insurance policy to someone
    who has been randomly selected from the telephone directory is 0.15.
    if an agent calls 6 persons, what is the probability that he will sell no fewer than 4 policies?

    Not sure what you mean by "sort this problem out",
    . . but you must have done some Thinking, right?

    For example, "no fewer than 4 sales" means 4 sales or 5 sales or 6 sales.


    You should be familiar with Binomial Probability (or Bernoulli trials),
    . . or you should not have been assigned this problem.
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