StatTutor Lesson - Independence Again

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Independence again
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      Questions 1-3

      315

      Question 1.

      What is the probability of a face card in a deck? Enter your answer as a fraction in lowest terms.

      Correct. The face cards in a deck are the Jack, Queen, and King for each of the four suits. There are 12 face cards in the deck of 52, so the probability is 12/52, or 4/13 in lowest terms.
      Incorrect. The face cards in a deck are the Jack, Queen, and King for each of the four suits. There are 12 face cards in the deck of 52, so the probability is 12/52, or 4/13 in lowest terms.
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      Questions 4-5

      406

      Question 4.

      Gender and Status table image

      Consider the gender and class make-up of students at a large university by gender and status as shown in the table above. What is P(Female | Undergraduate)? Give your answer to three decimal places.

      Correct. P(Female | Undergraduate) = P(Female and Undergraduate)/P(Undergraduate) = 0.43/0.73.
      Incorrect. P(Female | Undergraduate) = P(Female and Undergraduate)/P(Undergraduate) = 0.43/0.73.
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      Questions 6-7

      619

      Question 6.

      Consider weather forecasting. The weather bureau says the high temperature for tomorrow will be 70°F. You are hoping for snow. Are those events disjoint, independent, or neither?

      A.
      B.
      C.

      Correct. Because it takes temperatures at or below the freezing level (32°F) for snow, these events are disjoint. Knowing the temperature will be this high makes snow impossible.
      Incorrect. Because it takes temperatures at or below the freezing level (32°F) for snow, these events are disjoint. Knowing the temperature will be this high makes snow impossible.
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