Mathematics, 29.01.2020 18:03 choiboiqg8443
Stan guessed on all 10 questions of a multiple-choice quiz. each question has 4 answer choices. what is the probability that he got at least 2 questions correct? round the answer to the nearest thousandth.
0.211
0.244
0.756
0.944
Answers: 1
to find the probability of getting at least 2 questions correct.
and 
are mutually exclusive, we have
as we have 
to answer the questions incorrectly divided by the total 
to answer the questions.
![\begin{aligned} P(x \ge 2) &= 1 - P(x = 0\text{ or }x =1) \\ &=1 - \big[P(x=0) + P(x=1)\big] \\ &=1 - \left[ (3/4)^{10} + {}_{10}C_1 \cdot (3/4)^9(1/4)^1 \right] \\ &\approx 0.756 \end{aligned}](/tpl/images/0482/8458/40575.png)
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Stan guessed on all 10 questions of a multiple-choice quiz. each question has 4 answer choices. what...
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