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Math Help - probability hw help.!?!?!

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    probability hw help.!?!?!

    color blindness appears in 2% of the people in a certain population. how large must a random sample be in order to be 99% certain that a color blind person is included in the sample?
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    Quote Originally Posted by lauren2988 View Post
    color blindness appears in 2% of the people in a certain population. how large must a random sample be in order to be 99% certain that a color blind person is included in the sample?
    Let X be the random variable number of color blind people in sample.

    X ~ Binomial(n = ?, p = 0.02) (assuming a 'large' population).

    The smallest integer value of n such that \Pr(X \geq 1) \geq 0.99 \Rightarrow \Pr(X = 0) \leq 0.01 is required.

    Therefore find the smallest integer solution to (0.98)^n \leq 0.01. Trial and error is as good a technique as any.

    Hint: I get an answer for n that's larger than 200 but smaller than 300 .......
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