QUESTION 13 This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise You may need to use the appropriate appendix table or technology to answer this question. Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has done the homework and attended lectures has a 60% chance of answering any question correctly. (a) A student must answer 45 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. (b) A student who answers 36 to 39 questions correctly will receive a grade of C. What percentage of students who have done their homework and attended lectures will obtain a grade of C on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. (c) A student must answer 29 or more questions correctly to pass the examination. What percentage of the students who have done their homework and attended lectures will pass the examination? Use the normal approximation of the binomial distribution to answer this question. (d) Assume that a student has not attended class and has not done the homework for the course. Furthermore, assume that the student will simply guess at the answer to each question. What is the probability that this student will answer 29 or more questions correctly and pass the examination? Use the normal approximation of the binomial distribution to answer this question. Step 1 (a)A student must answer 45 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. Recall the conditions for a binomial probability. There are n independent trials, each with only one of two outcomes, a success or a failure. The probability of a success, p, is the same for each trial. The expected value, also referred to as μ, is calculated as μ = np, where n is the sample size. For this scenario, there are two options: a student gets a question correct or incorrect. Let a success be that a question is correct. It was given that a student who did the homework and attended lectures has a 60% chance of answering a question correctly. Convert this percentage to a probability.

QUESTION 13 This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise You may need to use the appropriate appendix table or technology to answer this question. Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has done the homework and attended lectures has a 60% chance of answering any question correctly. (a) A student must answer 45 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. (b) A student who answers 36 to 39 questions correctly will receive a grade of C. What percentage of students who have done their homework and attended lectures will obtain a grade of C on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. (c) A student must answer 29 or more questions correctly to pass the examination. What percentage of the students who have done their homework and attended lectures will pass the examination? Use the normal approximation of the binomial distribution to answer this question. (d) Assume that a student has not attended class and has not done the homework for the course. Furthermore, assume that the student will simply guess at the answer to each question. What is the probability that this student will answer 29 or more questions correctly and pass the examination? Use the normal approximation of the binomial distribution to answer this question. Step 1 (a)A student must answer 45 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. Recall the conditions for a binomial probability. There are n independent trials, each with only one of two outcomes, a success or a failure. The probability of a success, p, is the same for each trial. The expected value, also referred to as μ, is calculated as μ = np, where n is the sample size. For this scenario, there are two options: a student gets a question correct or incorrect. Let a success be that a question is correct. It was given that a student who did the homework and attended lectures has a 60% chance of answering a question correctly. Convert this percentage to a probability.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

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(a)A student must answer 45 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question.

Recall the conditions for a binomial probability. There are n independent trials, each with only one of two outcomes, a success or a failure. The probability of a success, p, is the same for each trial. The expected value, also referred to as μ, is calculated as

μ = np,

where n is the sample size.

For this scenario, there are two options: a student gets a question correct or incorrect. Let a success be that a question is correct. It was given that a student who did the homework and attended lectures has a 60% chance of answering a question correctly. Convert this percentage to a probability.

probability of a success

percentage

100%

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