A college plans to interview students for possible offers of graduate assistantships. The college has three assistantships to offer. The number of students in each category is as follows:
Undergraduate: 150
Graduate: 200
Business: 175
Engineering: 125
Arts & Sciences: 100
Total: 500
The questions to be answered are as follows:
1. What is the probability that a randomly selected student is an undergraduate?
2. What percentage of students are engineering majors?
3. If a selected student is an undergraduate, what is the probability that they are a business major?
4. What is the probability that the student is an undergraduate?
5. What is the probability that a randomly selected student is a graduate business major?
If a coin is tossed three times, what is the probability of obtaining three heads in a row (HHH)? In this binomial experiment, the probability of success is 0.06. What is the probability of two successes in seven trials?