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    rorymckeague's Avatar
    rorymckeague Posts: 8, Reputation: 1
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    #1

    Mar 29, 2012, 07:24 AM
    probability
    The probability of a car being defective is 1/10. In a survey of 150 cars, what is probability that 20 or more cars are defective?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Mar 29, 2012, 10:58 AM
    Two ways to tackle this. The hard way is to determine the probability of 20 being defective, plus the probabiity 21 being defectice, plus the probability of 22 being defecetive , plus... etc. Each of these probabilities is calculated using the formula for binomial distribution:



    An easier way is to use the fact that the binomial distribution approaches a normal distribution for large populations. So you can use the cumulative probability for a normal distribution, where = mean = np, = standard deviation = , and you want to check a z-score of for x = 20.
    rorymckeague's Avatar
    rorymckeague Posts: 8, Reputation: 1
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    #3

    Apr 17, 2012, 02:11 AM
    Many thanks for your help
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