Mathematics, 26.06.2019 04:30 hiplikedyani
Astudent randomly guesses on 10 true/false questions. use the binomial model to determine the probability that the student gets 5 out of 10 questions right. show all your steps.
Answers: 1
![P(x)=[\frac{n!}{x!(n-x)!}]p^{x}q^{n-x}](/tpl/images/0018/2153/9222b.png)
)q is the probability of failure (here it means getting the answer wrong, so probability of wrong is ![P(x)=[\frac{n!}{x!(n-x)!}]p^{x}q^{n-x}\\P(x)=[\frac{10!}{5!(10-5)!}](\frac{1}{2})^{5}(\frac{1}{2})^{10-5}\\P(x)=[\frac{10!}{5!5!}](\frac{1}{2})^{5}(\frac{1}{2})^{5}\\P(x)=[252](\frac{1}{2})^{10}\\P(x)=0.2461](/tpl/images/0018/2153/2cea6.png)
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Astudent randomly guesses on 10 true/false questions. use the binomial model to determine the probab...
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