Complete a contingency table and calculate marginal and conditional probabilities.

Complete a contingency table and calculate marginal and conditional probabilities.

4 marks
ProbabilityQuestionBank.pdf

In a survey, 100 students were asked “do you prefer to watch television or play sport?” Of the 46 boys in the survey, 33 said they would choose sport, while 29 girls made this choice. The results are shown in the table below.

BoysGirlsTotal
Television
Sport3329
Total46100
  1. a student selected at random prefers to watch television;
  2. a student prefers to watch television, given that the student is a boy.

[4]

Solution:

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Answer:Thus \(P(\text{television})=0.38\), and \(P(\text{television}\mid\text{boy})=\frac{13}{46}\).

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