Question

# We know that 6% of students will fail a course. If I take a sample of...

We know that 6% of students will fail a course. If I take a sample of 1200 students who take an online stats course find the probability that more than 100 will fail?

To solve this problem we could do it without Minitab and would be done in the following manner you answer the questions asked where x = number of students who fail

P(x > 100)   x has what type of distribution? ___________________

P(x > 100.5) x has what type of distribution? _____________

P(z > 100-72/8.23) z has what type of distribution? _________________

P(z > 3.40) = 0   Based on this answer if an online course DID had over 100 failures with 1200 students would you recommend that the course be taught online? Explain

Since, the probability of getting more than 100 failures is 0, it is unusual for any test to give such a result. This would imply that the test has a failure score more than 6% and hence it would not be recommended to teach the course online

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