Quiz_ Module 1 Homework

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2/8/24, 3:18 PM Quiz: Module 1 Homework https://canvas.nd.edu/courses/90705/quizzes/47182/take?preview=1 1/5 Module 1 Homework  This is a preview of the published version of the quiz Started: Feb 8 at 3:18pm Quiz Instructions Please complete the following problems to demonstrate your mastery of topics covered in this module. Despite this being a Canvas "quiz", you may ask your professor for help on these questions. You will have 2 attempts on these problems, and the average of the two attempts will be recorded as your score for the assignment. Please note that questions may change between attempts, so read them carefully. If you are satisfied with your score after the first attempt, you do not need to complete the second attempt. 1 pts Question 1 There are four outcomes in a sample space: A, B, C and D. If P(A) = 0.2, P(B) = 0.1 and P(C) = 0.1, what is P(D)? Give your answer as a decimal. 1 pts Question 2 Suppose that P(A) = 0.8. What is the probability of the complement of A?

2/8/24, 3:18 PM Quiz: Module 1 Homework https://canvas.nd.edu/courses/90705/quizzes/47182/take?preview=1 2/5 2 pts Question 3 Suppose a child can be born with either blue eyes or brown eyes. A blue eyed child will have two recessive genes for eye color but a brown eyed child could have two dominant genes for eye color, or one dominant gene and one recessive gene for eye color. Suppose that Mike had blue eyes (meaning he has two recessive genes) and Lydia has brown eyes, but she knows that she has one dominant and one recessive gene. If Mike and Lydia have a child, what is the probability that their child will have brown eyes? Give your answer as a decimal. 2 pts Question 4 Use the information from the previous question to solve this problem. If Mike and Lydia were to have 3 children, what is the probability that all children will have brown eyes? Give your answer to 4 decimal places. 3 pts Question 5 Suppose that two fair dice are tossed. What is the probability that the sum equals 11 given that it exceeds 9? Hint: draw a table that shows all possible outcomes for the sum of two dice. Give your answer as a decimal to 3 decimal places.

2/8/24, 3:18 PM Quiz: Module 1 Homework https://canvas.nd.edu/courses/90705/quizzes/47182/take?preview=1 3/5 3 pts Question 6 If men constitute 51% of the population and tell the truth 73% of the time, while women tell the truth 63% of the time, what is the probability that a person selected at random will answer a question truthfully? Give your answer as a decimal to 3 decimal places. 2 pts Question 7 The probability of that an individual in the land of Probaquest (called a Probabquester) is Curious or Hungry is 0.7. The probability that they are Curious or not Hungry is 0.9. What is the probability that a randomly selected Probaquester is Curious? 3 pts Question 8 In the land of Probiquest, Bables constitute 47% of the population and tell the truth 78% of the time, while Gables tell the truth 63% of the time. A Probiquester is either a Bable or a Gable, but can’t be both. A Probiquester just answered a question truthfully (it is now "given" that the individual was truthful). What is the probability that they are a Bable? Give your answer as a decimal to 3 places.

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2/8/24, 3:18 PM Quiz: Module 1 Homework https://canvas.nd.edu/courses/90705/quizzes/47182/take?preview=1 4/5 1 pts Question 9 Natalie plays basketball for her high school team. Over the course of the season she has 150 attempts at the basket and makes 100 of them. Now the team is in the playoffs and the school newspaper is reporting that Natalie’s chance of making a shot is about 66%. What type of probability is the newspaper reporting? Odds Theoretical Probability Empirical Probability Subjective Probability 1 pts Question 10 Suppose that . What does this imply? A and B are mutually exclusive. B is a subset of A. A is a subset of B. A and B are independent. 1 pts Question 11 Suppose that . What does this imply? A and B are mutually exclusive.

2/8/24, 3:18 PM Quiz: Module 1 Homework https://canvas.nd.edu/courses/90705/quizzes/47182/take?preview=1 5/5 Not saved B is a subset of A. A and B are independent. A is a subset of B. Submit Quiz

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