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Math Help - Probability

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    Probability

    Hello everyone,

    Hope you're all OK!

    I was having trouble with a problem and was wondering if anyone could point me in the right direction. Thanks in advance

    A prof. is creating a 20 question true or false quiz. They want to make sure that the probability of a student passing who guesses all the questions is less than 0.05. What should they make the passing grade?
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  2. #2
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    Quote Originally Posted by Slumzo View Post
    Hello everyone,

    Hope you're all OK!

    I was having trouble with a problem and was wondering if anyone could point me in the right direction. Thanks in advance

    A prof. is creating a 20 question true or false quiz. They want to make sure that the probability of a student passing who guesses all the questions is less than 0.05. What should they make the passing grade?
    Let X be the random variable number of correct guesses.

    X ~ Binomial(n = 20, p = 1/2).

    You require the smallest integer value of x such that \Pr(X \geq x) < 0.05

    Using technology (TI-89) to guess-and-check I get x = 15.
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