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Math Help - Can some one explain hwo to find probability?

  1. #1
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    Can some one explain hwo to find probability?

    A salesperson has to sell a minimum of 50 cars to earn the sales bonus. To date this month he/she has sold 46 cars. Today the salesperson has appointments with 10 prospective customers. He estimates that he/she has a 55% chance of success with each customer.
    What is the probability that he/she will earn his/her bonus today?
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  2. #2
    Senior Member Sambit's Avatar
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    This is a Binomial distribution with probability of success p=0.55, n=10; you need to obtain probability of getting 4.
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    Quote Originally Posted by Sambit View Post
    This is a Binomial distribution with probability of success p=0.55, n=10; you need to obtain probability of getting 4.
    It should be at least four.
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    Senior Member Sambit's Avatar
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    CAPS e lekha heading 2to dite hobe kina sure noi. Kono change krte hole inform korbi.
    Ya...
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    Can you guys explain how to actually do the question as I have no idea. Like the formula or something. I already have the answer I just need to know how to do it.
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  6. #6
    Senior Member Sambit's Avatar
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    I am providing you with the probability mass function of Binomial distribution with parameters n and p. You just need to perform a suitable summation over it, taking appropriate upper and lower limits of k.
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    Quote Originally Posted by Nafiro100 View Post
    Can you guys explain how to actually do the question as I have no idea. Like the formula or something. I already have the answer I just need to know how to do it.
    \displaystyle\sum\limits_{k = 4}^{10} {\binom{10}{k}\left( {0.55} \right)^k \left( {0.45} \right)^{10 - k} }=0.898005054422266
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