# Probability

1. For the eight compentecies listed above, what are the means and standard deviations? What two compentencies have the highest means? What two compentencies have the highest standard deviations? Are these what you would expect from vieving the probabilities presented in this table?

2. If 10 business shcools were selected at random what is the probability that at least five of the business school deans agree or strongly agree that improvement in technology and computer usage is crucial to their school recieving accreditaion?

3. Suppose that 20 business schools were selected at random. What is the probability that at least 15 of these schools have deans that agree or strongly agree that improvement in communication skills is crucial to their school receiving accreditation.

4. From question 3 how many business schools would you expect to have deans that agree or stongly agree that improvement in communication skills is crucial to receiving accredidation at their school? What is the standard deviation?

5. For 20 business schools selected from Michigan, suppose it is known that 15 agree or strongly agree that improvement in the global issues competency is crucial to their business school receiving accredidation. If eight of these 20 business schools were selected at random, what is the probability that all eight schools agree or strongly agree that improvement in the global issues competency is crucial to their accreditation.

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Please see the attachment. Hope this helps.

1. For the eight compentecies listed above, what are the means and standard deviations? What two compentencies have the highest means? What two compentencies have the highest standard deviations? Are these what you would expect from vieving the probabilities presented in this table?

Solution. We have computed all means and standard deviations on stat.xls. From that we know that "Global issue" and "Professional integrity/ethic" have the highest means, and they have the highest standard deviations as well. "Communication skills" has the smallest mean and standard deviation, "Critical thinking" has the second smallest mean and standard deviation. So these competencies are we would expect.

2. If 10 business shcools were selected at random what is ...

#### Solution Summary

1. For the eight compentecies listed above, what are the means and standard deviations? What two compentencies have the highest means? What two compentencies have the highest standard deviations? Are these what you would expect from vieving the probabilities presented in this table?

2. If 10 business shcools were selected at random what is the probability that at least five of the business school deans agree or strongly agree that improvement in technology and computer usage is crucial to their school recieving accreditation?

3. Suppose that 20 business schools were selected at random. What is the probability that at least 15 of these schools have deans that agree or strongly agree that improvement in communication skills is crucial to their school receiving accreditation.

4. From question 3 how many business schools would you expect to have deans that agree or stongly agree that improvement in communication skills is crucial to receiving accredidation at their school? What is the standard deviation?

5. For 20 business schools selected from Michigan, suppose it is known that 15 agree or strongly agree that improvement in the global issues competency is crucial to their business school receiving accredidation. If eight of these 20 business schools were selected at random, what is the probability that all eight schools agree or strongly agree that improvement in the global issues competency is crucial to their accreditation.