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. 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? b. A student who answers 35 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? c. A student must answer 30 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? 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 30 or more questions correctly and pass the examination?

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 75% probability of answering any question correctly.


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?


b. A student who answers 35 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?


c. A student must answer 30 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?


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 30 or more questions correctly and pass the examination?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Code Churn. Code Churn is a common metric used to measure the efficiency and productivity of softwar...

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you. T...

Q: Past studies have indicated that the percentage of smokers was estimated to be about 34%. Given the ...

A: From the provided information, Population proportion (p) = 0.34 Sample size (n) = 1807 Out of which ...

Q: The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption ...

A: From the provided information, Mean (µ) = 9.8 grams Standard deviation (σ) = 1 grams

Q: Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data...

A: Click to see the answer

Q: You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:P1 = P2 Ha:P1 < P2...

A: Given  n1=476, X1=344, n2=398, X2=331 Level of significance=0.02 p1cap=X1/n1 and p2cap=X2/n2     

Q: Review 1/2/3/

A: Probability is given by; Probability  = No of favorable  outcomes/Total no of outcomes

Q: A programmer plans to develop a new software system. In planning for the operating system that he wi...

A: Click to see the answer

Q: Please answer both I will provide you positive response

A: From the provided information, 55% of the home-based computers in a foreign country have access to o...

Q: Test the claim that the proportion of men who own cats is smaller than the proportion of women who o...

A: Given that we have to test the claim that the proportion of men who own cats is smaller than the pro...