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 65% chance of answering any question correctly. (Round your answers to two decimal places.)
(a) A student must answer 44 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 34 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 28 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 28 or more questions correctly and pass the examination? Use the normal approximation of the binomial distribution to answer this question.
We use Normal Approximation to Binomial Distribution in order to answer the question. In order to get the probability values we have used standard normal distribution tables. It can also be done using any statistical software like R.
You may need to use the appropriate appendix table or technology to answer this question. Consider...
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 65% chance of answering any question correctly. (Round your answers to two decimal places.) (a) A student must answer 43 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?...
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 75% probability of answering any question correctly. A student must answer 43 or more questions correctly to obtain a grade What percentage of the students who have done their homework and attended lectures will obtain a grade A on this multiple-choice examination? A student who answers 35 to 39 questions correctly will receive...
You may need to use the appropriate appendix table or technology to answer this question. Assume a binomial probability distribution has p = 0.70 and n = 300. a.What is the probability of 190 to 200 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) b.What is the probability of 220 or more successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer...
You may need to use the appropriate appendix table or technology to answer this question. A survey found that 91% of Americans believe that texting while driving should be outlawed. (a) For a sample of 10 Americans, what is the probability that at least 8 say that they believe texting while driving should be outlawed? Use the binomial distribution probability function discussed in Section 5.5 to answer this question. (Round your answer to four decimal places.) (b) For a sample...
You may need to use the appropriate appendix table or technology to answer this question. Although studies continue to show smoking leads to significant health problems, 30% of adults in a country smoke. Consider a group of 250 adults. (b) What is the probability that fewer than 65 smoke? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (c) What is the probability that from 80 to 85 smoke? Use...
You may need to use the appropriate appendix table or technology to answer this question. A binomial probability distribution has p = 0.20 and n = 100. (a) What are the mean and standard deviation? mean standard deviation (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. No, because np > 5 and n(1 - p) > 5. Yes, because n > 30. No, because np < 5 and n(1-p) <...
You may need to use the appropriate appendix table or technology to answer this question A center for education statistics reported that 44% of college students work to pay for tuition and living expenses. Assume that a sample of 440 college students was used in the study (a) Provide a 95% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.) (b) Provide a 99%...
You may need to use the appropriate appendix table or technology to answer this question. A study showed that 63% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. (a) Formulate the hypotheses that could be used to determine...
You may need to use the appropriate appendix table or technology to answer this question. Consider a binomial experiment with n = 20 and p = 0.80. (Round your answers to four decimal places.) (a) Compute f(12) f(12) (b) Compute 16) (16) (c) Compute P(x 2 16) P(x 2 16) - (d) Compute Px s 15) P(x s 15) e) Compute E(x) E(x) (f) Compute Var(x) and σ. Var(x)
You may need to use the appropriate appendix table or technology to answer this question. Consider a binomial experiment with n = 20 and p = 0.70. (Round your answers to four decimal places.) (a) Compute f(13). f(13) = (b) Compute f(16). f(16) = (c) Compute P(x ≥ 16). P(x ≥ 16) = (d) Compute P(x ≤ 15). P(x ≤ 15) = (e) Compute E(x). E(x) = (f) Compute Var(x) and σ. Var(x) =σ=