There are 27 students on the college debate team what 's the pobability

In summary, the probability of a randomly selected student on the college debate team being female depends on the gender ratio of the team. Similarly, the probability of a student being junior, from the math department, or a freshman/sophomore depends on the respective distributions on the team. The probability of a student being a captain cannot be determined without more information on the team's size and the number of captains.
  • #1
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Homework Statement



there are 27 students on the college debate team what 's the pobability that at least 5 of them have their birthday in the same month??


Homework Equations





The Attempt at a Solution

 
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  • #2
Please show2. Homework Equations
3. The Attempt at a Solution
 
  • #3
Sum from x=5 to x=27 of
Choose(27,x)*(1/12)x*(11/12)27-x

Can anybody confirm?
 

1. What is the probability that a randomly selected student on the college debate team is a female?

The answer to this question depends on the gender ratio of the debate team. If there are an equal number of male and female students, then the probability would be 50%. If there are more females or males, then the probability would be different.

2. What is the probability that a randomly selected student on the college debate team is a junior?

The answer to this question depends on the grade level distribution on the debate team. If there is an equal number of students from each grade level, then the probability would be 1/3 (approximately 33%). If one grade level is overrepresented, then the probability would be different.

3. What is the probability that a randomly selected student on the college debate team is from the math department?

This question cannot be answered without more information about the debate team. If the debate team is made up of students exclusively from the math department, then the probability would be 100%. However, if the debate team is composed of students from various departments, the probability would be different.

4. What is the probability that a randomly selected student on the college debate team is a freshman or a sophomore?

The answer to this question depends on the distribution of grade levels on the debate team. If there are an equal number of students from each grade level, then the probability would be 2/3 (approximately 67%). If one grade level is overrepresented, then the probability would be different.

5. What is the probability that a randomly selected student on the college debate team is a captain?

This question cannot be answered without more information about the debate team. If there is only one captain on the team, then the probability would be very low. However, if there are multiple captains, the probability would be higher. It also depends on the total number of students on the team.

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