Question 1 (1 point) The sample space S consists of whole numbers starting at 1 and strictly less than 15. Let event A = the even numbers and event B = numbers strictly greater than 13. What is P(B)? O a) 5/14 O b) 1.0 O c) 1/14 O d) 13/14 O e) 0.0Question 2 (1 point) The sample space S consists of whole numbers starting at 1 and strictly less than 15. Let event A = the even numbers and event B = numbers strictly greater than 13. What is P(A or B)? O a ) 7/14 O b) 1.0 O c) 0.0 O d) 8/14 O e) 1/14Question 3 (1 point) The sample space 5 consists of whole numbers starting at 1 and strictly less than 15. Let event A = the even numbers and event B = numbers strictly greater than 13. What is AB |A")? O a) 1/7 O b) 8/14 O 900 O d) 1/14 O e 1.0 Question 4 (1 point) The table below describes the distribution of a sample space of individuals, organized by gender and whether they are right- or left-handed. Righthanded (R)|Left-handed (L) R Females (A4 4 Let's denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L = the subject is left-handed. What is P(M n R')? O a) 096 O b) 0.44 O o) 0.09 O d) 0.43 Question 5 (1 point) The table below describes the distribution of a sample space of individuals, organized by gender and whether they are right- or left-handed. Right-handed (R) Left-handed (L) Males (M) 43 Females (F) 44 Let's denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L = the subject is left-handed. What is P(MU R)? O a) 0.96 O b) 0.09 O c) 0.56 O d) 0.44 Question 6 (1 point) The table below describes the distribution of a sample space of individuals, organized by gender and whether they are right- or left-handed. Right-handed (R) Left-handed (L) Males (M) 43 9 Females (F) 44 Let's denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L = the subject is left-handed. What is P(M | R)? O a) 0.87 ( b) 0.09 O c) 0.49 O d) 0.43Question 7 {1 point) The table below describes the distribution of a sample space of individuals, organized by gender and whether they are right- or left-handed. Right-handed (R)|Left-handed (L) v o 5 Females Af8_Jo Let's denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L = the subject is left-handed. What is P(M | )? O a) 0.13 O b) 0.52 O o 0.87 O d) 0.69 Question 8 {1 point) Flip three fair coins at the same time once. Let A = the event of getting at most one tail. Let B = the event of getting all tails. Let C = the event of getting all heads. Let D = event of getting more than one tail. Which of the following statements are true? O a) A and C are collectively exhaustive O b) A and D are NOT mutually exclusive O c) A and D are independent O d) C and D are mutually exclusive Question 9 (1 point) In a basketball arena. /0% of the fans are rooting for the home team. 25% of the fans are wearing blue. 20% of the fans are wearing blue and are rooting for the away team. Of the fans rooting for the away team, 70% are wearing blue. Let A be the event that a fan is rooting for the away team. Let B be the event that a fan is wearing blue. What is P{A and B)? O a)0.21 (O b) 0.70 O o 0.66 O d) 075 Question 10 (1 point) In a basketball arena, 70% of the fans are rooting for the home team. 25% of the fans are wearing blue. 20% of the fans are wearing blue and are rooting for the away team. Of the fans rooting for the away team, 70% are wearing blue. Let A be the event that a fan is rooting for the away team. Let B be the event that a fan is wearing blue. What is P(A' and B')? O a) 0.04 O b) 0.09 O ) 0.70 O d) 0.66 Question 11 (1 point) In a baskethall arena, /0% of the fans are rooting for the home team. 25% of the fans are wearing blue. 20% of the fans are wearing blue and are rooting for the away team. Of the fans rooting for the away team, 70% are wearing blue. Let A be the event that a fan is rooting for the away team. Let B be the event that a fan is wearing blue. What is P(B | A)? O a) 0.84 O b) 0.25 O o) 0.04 O d) 0.70 Question 12 (1 point) In a basketball arena, 70% of the fans are rooting for the home team. 25% of the fans are wearing blue. 20% of the fans are wearing blue and are rooting for the away team. Of the fans rooting for the away team, 70% are wearing blue. Let A be the event that a fan is rooting for the away team. Let B be the event that a fan is wearing blue. What is P(B | A")? O a) 0.06 O b) 0.84 O 0.25 O d) 0.70 Question 13 (1 point) A drug test proposed by a company tests positive 99% of the time on drug consumers, and it tests negative 95% of the time on non-consumers. Let's say the drug is consumed by 1% of the general population. If a random person tests positive for the drug, what is the probability that (s)he is a drug consumer? O a) 0.0594 O b) 0.0099 O c) 0.0495 O d) 0.1667 Question 14 (1 point) A drug test proposed by a company tests positive 99% of the time on drug consumers, and it tests negative 95% of the time on non-consumers. Let's say the drug is consumed by 1% of the general population. If a random person tests negative for the drug. what is the probability that (s)he is not a drug consumer? () a) 0.0000 (O b) 0.9405 O 0.0001 O d) 0.9999 Question 15 (1 point) Studies show that about one woman in seven (approximately 14.3%) will develop breast cancer in her lifetime. Suppose that of those women who develop breast cancer, a test is negative 2% of the time. Also suppose that in the general population of women, the test for breast cancer is negative about 85% of the time. Suppose one woman is selected at random out of the population. If her test result is positive, what is the probability that she doesn't have breast cancer? O a) 0.1500 (O b) 0.8500 () ) 0.0000 O d) 0.0657