A computer company hired interns from a group of 234 applicants. The table shows the number of applicants who were or were not computer science majors and the number of applicants who were or were not hired.
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Match the probabilities with the description.
Column A
1.
What is the probability that the intern had a Computer Science Major and did not get hired.:
2.
What is the probability that the intern had a major other than Computer Science?:
3.
What is the probability that a Computer Science Major was hired?:
4.
What is the probability that an intern with a major other than Computer Science was not hired?:
Column B
Marginal - 68.3%
Joint - 51.2%
Conditional - 36.2%
Conditional - 48.6%
Joint - 43.6%
Marginal - 31.6%
1. Conditional - 36.2%
2. Marginal - 68.3%
3. Joint - 43.6%
4. Conditional - 48.6%
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To match the probabilities with the descriptions, let's analyze each probability and its corresponding description:
1. What is the probability that the intern had a Computer Science Major and did not get hired:
This can be represented by the joint probability P(Computer Science Major and Not Hired). The given joint probability in Column B is 51.2%.
2. What is the probability that the intern had a major other than Computer Science:
This can be represented by the marginal probability P(Not Computer Science Major). The given marginal probability in Column B is 68.3%.
3. What is the probability that a Computer Science Major was hired:
This can be represented by the conditional probability P(Hired | Computer Science Major), which asks for the probability of being hired given that the person has a Computer Science Major. The given conditional probability in Column B is 36.2%.
4. What is the probability that an intern with a major other than Computer Science was not hired:
This can be represented by the conditional probability P(Not Hired | Not Computer Science Major), which asks for the probability of not being hired given that the person does not have a Computer Science Major. The given conditional probability in Column B is 48.6%.
Therefore, the matching probabilities with the descriptions are:
1. Probability that the intern had a Computer Science Major and did not get hired: Joint - 51.2%
2. Probability that the intern had a major other than Computer Science: Marginal - 68.3%
3. Probability that a Computer Science Major was hired: Conditional - 36.2%
4. Probability that an intern with a major other than Computer Science was not hired: Conditional - 48.6%