n a college class of 250 graduating seniors 50 have jobswaiting. 10 are going to medical school, 20 are going to lawschool, and 80 are going to various other kinds of graduateschools. Select one graduate at random.
a. What is the probability that the student is going tograduate school?
b. What is the probability that the student is going tomedical school?
c. What is the probability that the student will have to startpaying back her deferred student loans after 6 months (ie does notcontinue in school)
a. Assuming that medical and law schools are also graduate schools, 110/250 = ?
b. 10/250 = ?
c. 50/250 = ?
a. To find the probability that the student is going to graduate school, we need to calculate the proportion of graduating seniors who are going to graduate school.
Total students going to graduate school = 80
Total graduating seniors = 250
Probability (going to graduate school) = Number of students going to graduate school / Total graduating seniors
Probability (going to graduate school) = 80 / 250
Probability (going to graduate school) = 0.32
Therefore, the probability that the student is going to graduate school is 0.32 or 32%.
b. To find the probability that the student is going to medical school, we need to calculate the proportion of graduating seniors who are going to medical school.
Total students going to medical school = 10
Total graduating seniors = 250
Probability (going to medical school) = Number of students going to medical school / Total graduating seniors
Probability (going to medical school) = 10 / 250
Probability (going to medical school) = 0.04
Therefore, the probability that the student is going to medical school is 0.04 or 4%.
c. To find the probability that the student will have to start paying back her deferred student loans after 6 months (i.e., does not continue in school), we need to calculate the proportion of graduating seniors who are not going to any form of graduate school.
Total students not going to any form of graduate school = 250 - (50 + 10 + 20) = 250 - 80 = 170 (since 50 have jobs waiting, 10 are going to medical school, and 20 are going to law school)
Total graduating seniors = 250
Probability (not continuing in school) = Number of students not going to graduate school / Total graduating seniors
Probability (not continuing in school) = 170 / 250
Probability (not continuing in school) = 0.68
Therefore, the probability that the student will have to start paying back her deferred student loans after 6 months is 0.68 or 68%.
To calculate the probabilities, we need to determine the number of students in each category and then divide by the total number of graduating seniors.
a. Probability of going to graduate school:
- Number of students going to graduate school: 80
- Total graduating seniors: 250
- Probability = 80/250 = 0.32 or 32%
b. Probability of going to medical school:
- Number of students going to medical school: 10
- Total graduating seniors: 250
- Probability = 10/250 = 0.04 or 4%
c. Probability of not continuing in school and starting to pay back student loans:
- Number of students with jobs waiting: 50
- Number of students going to medical school: 10
- Number of students going to law school: 20
- Number of students going to other graduate schools: 80
- Total students not continuing in school = 50 - 10 - 20 - 80 = -60
(There seems to be an error in the provided information, as the total number of students not continuing in school cannot be negative. Please verify and provide accurate data to answer this question accordingly.)
If there are any further queries or if you have any additional information, feel free to ask.