A computer company hired interns from a group of 234 applicants. The table shows the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired.
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Match the probabilites with the description.
Column A
1.
What is the probability that the intern had a Computer Science Major and did not get hired.:
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?:
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?:
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?:
What is the probability that an intern with a major other than Computer Science was not hired?
Column B
a.Joint - 51.2%
b.Joint - 43.6%
c.Conditional - 36.2%
d.Marginal - 31.6%
e.Marginal - 68.3%
f.Conditional - 48.6%
1. f. Conditional - 48.6%
2. e. Marginal - 68.3%
3. c. Conditional - 36.2%
4. b. Joint - 43.6%
Column A
1. What is the probability that the intern had a Computer Science Major and did not get hired? - d. Marginal - 31.6%
2. What is the probability that the intern had a major other than Computer Science? - e. Marginal - 68.3%
3. What is the probability that a Computer Science Major was hired? - f. Conditional - 48.6%
4. What is the probability that an intern with a major other than Computer Science was not hired? - c. Conditional - 36.2%
Note: The probabilities listed in Column B correspond to the descriptions in Column A.
To match the probabilities with the descriptions, we need to understand the terms "joint probability," "conditional probability," and "marginal probability."
Joint Probability: This refers to the probability of two events happening together. For example, the joint probability of an intern having a Computer Science major and not getting hired.
Conditional Probability: This refers to the probability of an event occurring given that another event has already occurred. For example, the conditional probability of hiring an intern who has a major other than Computer Science.
Marginal Probability: This refers to the probability of a single event occurring without considering any other events. For example, the marginal probability of hiring an intern without considering their major.
Now, let's match the probabilities with the descriptions:
Column A
1. What is the probability that the intern had a Computer Science Major and did not get hired? - Joint probability.
2. What is the probability that the intern had a major other than Computer Science? - Marginal probability.
3. What is the probability that a Computer Science Major was hired? - Conditional probability.
4. What is the probability that an intern with a major other than Computer Science was not hired? - Joint probability.
Column B
a. Joint - 51.2% (Matches with description 1)
b. Joint - 43.6% (Matches with description 4)
c. Conditional - 36.2% (Matches with description 3)
d. Marginal - 31.6% (Matches with description 2)
e. Marginal - 68.3% (Does not match any description)
f. Conditional - 48.6% (Does not match any description)
Therefore, the correct matching is:
1. Joint - 51.2%
2. Marginal - 31.6%
3. Conditional - 36.2%
4. Joint - 43.6%