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ecate ) Ny Courses ? Cav 40838 E. Chapter 4 HW - Discrete Random Variable Curnerescose, 67.51000 omes il. Categny.homework Pey Nent Question 18 Fractice similar questions score: oot 5 points A studert takes a 10 - puestion true false quiz, but did not study and randomity guesses each answer, Find the prohablity that the stubert passes the quiz with a grace of at iesst \( 20 \% \) of the questions correct. Note Remember to round the result and all the intermedate calculations to 4 cecimal places. Proability \( \approx \) \( \square \) Enter your answer Siemtitanowar Attemple: OhC Fins this question difficunt Do you know yov can pesctios ancther wersion of this question?

Ask by Wang Ayala. in the United States
Feb 04,2025

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The probability of passing the quiz by getting at least 2 correct answers is approximately 0.9893.

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Beyond the Answer

Imagine the classic scenario of a student trying to guess their way through a true/false quiz—sounds challenging, right? In this case, with 10 questions, guessing gives a 50% chance for each question. To pass with at least 20% correct, the student needs to score at least 2 questions right. Using the binomial probability formula, you can find that the probability of getting 2 or more correct answers can be calculated based on possible combinations of correct answers. As for tips, remember the binomial theorem: it's all about finding how many ways you can choose the right answers out of the total and multiplying that by the probabilities of getting them right and wrong. A common mistake is forgetting to consider all the possible outcomes (2 correct, 3 correct, etc.) when calculating total probabilities. By breaking it down question by question, it becomes a lot more manageable!

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