Mathematics, 03.07.2019 12:10 mckennayoshz
a multiple-choice test consists of 28 questions with possible answers of a, b,c, d. estimate the probability that with random guessing, the number of correct answers is at least 12.
Answers: 1
.The other 28 - 12 answers need to be incorrect. Multiply by 
.There are more than one way of choosing 12 answers out of 28 without an order. Multiply by the combination "12-choose-28" 
.
.
(
, 
) correct out of the 28 random answers will be
.![\displaystyle \sum_{x = 12}^{28}{\left[\left(\frac{1}{4}\right)^{x} \times \left(\frac{3}{4}\right)^{28 - x}\times \left(\begin{array}{c}x\\28\end{array}\right)\right]}](/tpl/images/0046/3212/a6db2.png)
.![\displaystyle \sum_{x = 12}^{28}{\left[\left(\frac{1}{4}\right)^{x} \times \left(\frac{3}{4}\right)^{28 - x}\times \left(\begin{array}{c}x\\28\end{array}\right)\right]} \approx 0.0294](/tpl/images/0046/3212/13344.png)
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a multiple-choice test consists of 28 questions with possible answers of a, b,c, d. estimate the pro...
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