Suppose 93% of all students taking a beginning programming course fail to get th

Question

Suppose 93% of all students taking a beginning programming course fail to get their first program to run on the first submission. We are interested in probabilities for a group of 6 such students. This can be considered a binomial distribution.

a. What are the trials? How many trials are there?

b. What are the mutually exclusive events?

c. What is a success for each trial?

d. Think of a scenario in which the assumption of independent trials may be violated. Explain your answer.

Among the 6 students, find the probability that:

e. All fail on their first submissions

f. At least 5 fail on their first submission

g. Less than 5 fail on their first submission

h. What is the mean number who will fail?

Explanation / Answer

Suppose 93% of all students taking a beginning programming course fail to get their first program to run on the first submission. We are interested in probabilities for a group of 6 such students. This can be considered a binomial distribution.

a. What are the trials? How many trials are there?

The trials are the results whether a student fails to get thir first program to run on the first submission. There are 6 such trials.

b. What are the mutually exclusive events?

The program running successfully and the program not fails to run successfully.

c. What is a success for each trial?

If the program fails to run successfully.

d. Think of a scenario in which the assumption of independent trials may be violated. Explain your answer.

If some of the students actually did the codes together (like a group study).

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