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March 25, 2017

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From experience, the manager of Kramer's Book Mart knows that 40% of the people who are browsing in the store will make a purchase. What is the probability that among ten people who are browsing in the store, at least five will make a purchase? (Round your answer to four decimal places.)

  • Binomial Math - ,

    prob of purchase = .4
    prob of no purchase = .6

    prob of at least 5 from 10 will make purchase

    = prob(5will buy) + prob(6 will buy) + ..+ prob(10 will buy)
    ....
    lots of arithmetic, I will do the prob 6 will buy
    = C(10,6) (.4)^6 (.6)^4
    = ..

    What might be a shorter way is to exclude the cases of none, 1, 2 , 3 or 4 will buy

    = 1 - (prob(0 will buy + prob(1 will buy ...+prob(4 will buy)

  • Binomial Math - ,

    .2150

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