Question

use the following information using 20 questions OF TRUE OR FALSE CHOICES instead of 35 MULTIPLICATION WITH 5 POSSIBLE CHOICES

Background:

You are taking a standardized test with 35 questions.
For each question you are given the choice of 5 possible answers A, B, C, D and E.
You answer each question randomly.

What is the probability that you pass the test by answering at least 70 % of the 30 questions correctly? Answer the following questions.

1) Is this a binomial experiment?           Circle one YES                         NO   

Check/Explain the following 4 points in order to determine if it is a binomial experiment/situation.

                1. How many trials do we have?

                2. Are the trials independent?

3. What would be Success?

                4. What is the probability of Success?

Answers I calculated with 35 questions. I need to check using 20 questions to see the difference

1) Yes, this is binomial experiment because:

The trails are independent.

There are finite number of questions.

There are only two possible outcomes: Correct and incorrect answer

Probability of correct answer in each problem is same.

Number of trials = 35

Yes, the trials are independent because probability of correct answer in any question doesn't depend on probability of correct answer in other questions.

Success = Getting a question correct

Probability of success = 1/5 = 0.20

Answer 1

Yes, this is binomial experiment because:

The trails are independent.

There are finite number of questions.

There are only two possible outcomes: Correct and incorrect answer

Probability of correct answer in each problem is same.

1) Number of trials = 20

2) Yes, the trials are independent because probability of correct answer in any question doesn't depend on probability of correct answer in other questions.

3) Success = Getting a question correct

4) Probability of success = 1/2 = 0.5