Question

In: Statistics and Probability

Female students at a certain college participate in sports with the following probabilities: Soccer = 0.32...

Female students at a certain college participate in sports with the following probabilities: Soccer = 0.32 Basketball = 0.22 Tennis = 0.22 Both soccer and basketball = 0.06 All three sports = 0.03 Both soccer and tennis = 0.12 Both basketball and tennis = 0.05

a) Construct the associated Venn diagram with all probabilities specified. (HINT: start with the idea that Pr(S ∩ B ∩ T) = 0.03 and then work your way through the rest of the diagram). (SHOW WORK; 1 point)
Next, you select one female student at random for an interview; determine the probability she plays

  1. b) At least one of the three sports

  2. c) Exactly one of the three sports

  3. d) Exactly two of the three sports

Solutions

Expert Solution

We will make the Venn diagram by making three circle,each for one play.

orchestra answered 1 year ago
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