ETS Practice Quiz #2 - Discrete Math PDF

12/2/24, 2:09 PM Anish Nipun Parulekar's Quiz History: ETS Practice Quiz #2 - Discrete Math ETS Practice Quiz #2 - Discrete Math Results for Anish Nipun Parulekar Score for this attempt: 8 out of 10 Submitted Oct 13 at 11:23pm This attempt took 32 minutes.  Q...

12/2/24, 2:09 PM Anish Nipun Parulekar's Quiz History: ETS Practice Quiz #2 - Discrete Math ETS Practice Quiz #2 - Discrete Math Results for Anish Nipun Parulekar Score for this attempt: 8 out of 10 Submitted Oct 13 at 11:23pm This attempt took 32 minutes.  Question 1 1 / 1 pts In how many ways four mathematics books, three history books, and three chemistry book be arranged on a shelf so that all books of the same subject are together? 6 12 216 Correct! 5184 31104  Question 2 1 / 1 pts In a digital computer, a bit is one of the integers , and a word is any string of 32 bits. How many different words are possible? 32 64 1048576 Correct! 4294967296 1024  Question 3 1 / 1 pts The truth set of the predicate with universal set is Correct!  Question 4 0 / 1 pts https://csumb.instructure.com/courses/25690/quizzes/102353/history?version=1 1/4 12/2/24, 2:09 PM Anish Nipun Parulekar's Quiz History: ETS Practice Quiz #2 - Discrete Math What is the negation of the predicate ? Correct Answer You Answered  Question 5 0 / 1 pts The contrapositive of is You Answered Correct Answer  Question 6 1 / 1 pts Let be the predicate. Over which set is the statement true? (positive integers) Correct! None of the above  Question 7 1 / 1 pts Let be the predicate is an integer. The domain of both variables is the positive integers. Which of the following are FALSE? Correct! Correct! https://csumb.instructure.com/courses/25690/quizzes/102353/history?version=1 2/4 12/2/24, 2:09 PM Anish Nipun Parulekar's Quiz History: ETS Practice Quiz #2 - Discrete Math  Question 8 1 / 1 pts Suppose we have a weighted die with the following probability distribution Outcome (ω) 1 2 3 4 5 6 Probability (m(ω)) 0.3 0.2 0.2 0.1 0.1 0.1 Consider the events , ,. If a player rolls this weighted die and wins $1 if the outcome is in event , wins $ 2 if the outcome is in event , and loses $3 if the outcome is in event. What is the expected value of this game (how much should a player expect to win or lose)? Lose $ 1 Lose $0.1 Win/Lose $ 0 Correct! Win $0.1 Win $ 1  Question 9 1 / 1 pts If and are independent events with nonzero probabilities, which of the following is NOT TRUE: Correct! are disjoint  Question 10 1 / 1 pts A card is drawn at random from an ordinary deck of 52 cards. What is the probability that it is higher than a , given that it is a heart? (Interpret , , , as 11,12,13,14) Correct! https://csumb.instructure.com/courses/25690/quizzes/102353/history?version=1 3/4 12/2/24, 2:09 PM Anish Nipun Parulekar's Quiz History: ETS Practice Quiz #2 - Discrete Math Quiz Score: 8 out of 10 https://csumb.instructure.com/courses/25690/quizzes/102353/history?version=1 4/4 12/2/24, 2:09 PM Anish Nipun Parulekar's Quiz History: ETS Practice Quiz #2 - Discrete Math ETS Practice Quiz #2 - Discrete Math Results for Anish Nipun Parulekar Score for this attempt: 10 out of 10 Submitted Oct 13 at 11:42pm This attempt took 14 minutes.  Question 1 1 / 1 pts In how many ways four mathematics books, three history books, and three chemistry book be arranged on a shelf so that all books of the same subject are together? 6 12 216 Correct! 5184 31104  Question 2 1 / 1 pts In a digital computer, a bit is one of the integers , and a word is any string of 32 bits. How many different words are possible? 32 64 1048576 Correct! 4294967296 1024  Question 3 1 / 1 pts The truth set of the predicate with universal set is Correct!  Question 4 1 / 1 pts https://csumb.instructure.com/courses/25690/quizzes/102353/history?version=2 1/3 12/2/24, 2:09 PM Anish Nipun Parulekar's Quiz History: ETS Practice Quiz #2 - Discrete Math What is the negation of the predicate ? Correct!  Question 5 1 / 1 pts The contrapositive of is Correct!  Question 6 1 / 1 pts Let be the predicate. Over which set is the statement true? (positive integers) Correct! None of the above  Question 7 1 / 1 pts Let be the predicate is an integer. The domain of both variables is the positive integers. Which of the following are FALSE? Correct! Correct! https://csumb.instructure.com/courses/25690/quizzes/102353/history?version=2 2/3 12/2/24, 2:09 PM Anish Nipun Parulekar's Quiz History: ETS Practice Quiz #2 - Discrete Math  Question 8 1 / 1 pts Suppose we have a weighted die with the following probability distribution Outcome (ω) 1 2 3 4 5 6 Probability (m(ω)) 0.3 0.2 0.2 0.1 0.1 0.1 Consider the events , ,. If a player rolls this weighted die and wins $1 if the outcome is in event , wins $ 2 if the outcome is in event , and loses $3 if the outcome is in event. What is the expected value of this game (how much should a player expect to win or lose)? Lose $ 1 Lose $0.1 Win/Lose $ 0 Correct! Win $0.1 Win $ 1  Question 9 1 / 1 pts If and are independent events with nonzero probabilities, which of the following is NOT TRUE: Correct! are disjoint  Question 10 1 / 1 pts A card is drawn at random from an ordinary deck of 52 cards. What is the probability that it is higher than a , given that it is a heart? (Interpret , , , as 11,12,13,14) Correct! Quiz Score: 10 out of 10 https://csumb.instructure.com/courses/25690/quizzes/102353/history?version=2 3/3