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2. The probability is 0.10 that the machine currently in use for filling cereal

ID: 3366160 • Letter: 2

Question

2. The probability is 0.10 that the machine currently in use for filling cereal boxes with HappyOs cereal will underfill a box. Which of the following statements is TRUE regarding boxes randomly sampled from the filling process? In a sample of 50 boxes, it would be impossible for all 50 boxes to be underfilled In a sample of 50 boxes, exactly 5 will be underfilled In a very large sample of boxes, you are certain to get at least one underfilled box O The proportion of underfilled boxes will get closer to 0.10 as the number of sampled boxes increases. 3. A popular game requires the player to select the same five numbers out of a set of allowed numbers that will be drawn at random by the lottery commission. For the next game if you select the five numbers that won in the most recent prior drawing, your chances of winning will increase because those five numbers must be lucky. be unaffected because every set of five numbers is equally likely on every attempt be unknown because it depends on how many times those five numbers have won in the last several drawings O decrease because the same five numbers are not likely to occur again so soon . Which of the following is TRUE about a probability model? A probability model is description of a random phenomenon in the language of mathematics. O A probability model assigns probability to all possible outcomes of a random phenomenon. All of the answers are correct. A probability model identifies all possible outcomes for a random phenomenon

Explanation / Answer

Solution: 2. The probability is 0.10 that the machine currently in use for filling cereal boxes with HappyOs cereal will underfill a box. Which of the following statements is TRUE regarding boxes randomlly sampled from the filling process?

Answer: The proportion underfilled boxes will get closer to 0.10 as the number of sampled boxes increases

3. A popular game requires the player to select the same five numbers out of a set of allowed numbers that will be drawn at random by the lottery commission. For the next game if you select the five numbers that won in the most recent prior drawing, your chances of winning will:

Answer: be unaffected because every set of five numbers is equally likely on every attempt.

4. Which of the following is TRUE about a probability model?

Answer: All the answers are correct.

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