Probability and Two-Way Tables
What is the probability that a woman selected at random is left-handed? A. 1/16 B. 4/7 C. 1/13 D. 1/12
C. 1/13
A poll taken before an election asks a sample of people which candidate they plan to vote for. What is the probability that a person in the population chosen at random is a female and voting for a Republican? A. 9/51 B. 9/46 C. 9/25 D. 9/21
A. 9/51
Which of the following can be determined about events A and C from the table above? A. P(AIC)=0.16, P(A)=0.16, the events are independent B. P(AIC)=0.16, P(C)=0.16, the events are independent C. P(AIC)=0.75, P(C)=0.75 D. P(AIC)=0.75, P(A)=0.75, the events are not independent
A. P(AIC)=0.16, P(A)=0.16, the events are independent
Which of the following can be determined about events A and C from the table above? A. P(AIC)=0.16, P(A)=0.16, the events are independent B. P(AIC)=0.16, P(C)=0.16, the events are independent C. P(CIA=0.75, P(C)=0.75, the events are not independent D. P(CIA)=0.75, P(A)=0.75, the events are not independent
A. P(AIC)=0.16, P(A)=0.16, the events are independent
Manufacturers are testing a new cologne before it's released. A machine uses sensors to determine if the cologne is working (maintaining a scent for 1 hour) 60% of the time. Another machine tests if the cologne works all the time (maintains a scent for over 5 hours). Find the probability that the cologne works all the time, given that it works 60% of the time. A. 15/82 B. 15/37 C. 22/37 D. 1
B. 15/37
What is the probability that a person selected at random is left-handed? A. 1/16 B. 7/100 C. 1/13 D. 7/93
B. 7/100
Which of the following can be determined from the table above? A. A=58, B=3, C=19, D=57, E=81 B. A=23, B=38, C=19, D=57, E=81 C. A=23, B=38, C=19, D=57, E=71 D. A=23, B=38, C=19, D=9, E=71
B. A=23, B=38, C=19, D=57, E=81
A doctor's office records the age at which 200 patients were treated for chicken pox. 60% of the patients were treated before age 15. 40% of the patients who were under 15 were female. 20 of the patients were 30 or older. Half of the people who were treated after their 30th birthday were female. 95 men were involved in the study. Which of the following represents the data in the table? A. A=48, B=15, C=120, D=15 B. A=48, B=10, C=120, D=13 C. A=72, B=10, C=60, D=13 D. A=72, B=15, C=60, D=15
B. A=48, B=10, C=120, D=13
Let event A be defined as a male being randomly selected. Let event B be defined as a person with brown eyes being randomly selected. Find P(A) and P(AIB). A. P(A)=0.6. P(AIB)=0.5 B. P(A)=0.6, P(AIB)=0.6 C. P(A)=0.5, P(AIB)=0.6 D. P(A)=0.17, P(AIB)=0.5
B. P(A)=0.6, P(AIB)=0.6
Which of the following expressions is used when referring to the outcomes of two variables? A. mutually exclusive B. joint probabilities C. independent events D. sample spaces
B. joint probabilities
At a dance competition, contestants were allowed to choose between four different dance moves: the Double Jim Jim, the B Bounce, the Abe Lincoln, and the Conky. Some of the contestants perform the moves well, and others do not. Given that a contestant is doing a good job, find the probability that contestant is doing the Conky. A. 22/51 B. 23/51 C. 2/3 D. 22/23
C. 2/3
A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated above. Let event A be defined as randomly choosing someone who picked cats or "other" as their favorite pet. Let event B be defined as randomly selecting a person who is female. Find P(B| NOT A). A. 7/29 B. 5/12 C. 7/15 D. 7/12
C. 7/15
Solve for the variables in the table. A. A=11, B=39, C-3, D=8, E=54 B. A=22, B=11, C=5, D=28, E=54 C. A=32, B=17, C=3, D=8, E=54 D. A=22, B=39, C=3, D=8, E=54
C. A=32, B=17, C=3, D=8, E=54
Let event A be defined as a male being randomly selected. Let event B be defined as a person with brown eyes being randomly selected. Which of the following statements best explains the events? A. not independent, since P(A)=P(AIB) B. independent, since P(A)/=P(AIB) C. independent, since P(A)=P(AIB) D. not independent, since P(A)/=P(AIB)
C. independent, since P(A)=P(AIB)
Let event A be defined as a randomly selected vehicle being silver or black. Let event B be defined as a randomly selected vehicle being a car or a truck. Find P(NOT B | A). A. 1/10 B. 13/60 C. 1/4 D. 13/36
D. 13/36
A sample of students were surveyed during lunch and asked whether or not they played a sport. A student randomly chosen from the sample plays a sport. Find the probability that the student is a freshman or a senior. A. 23/67 B. 6/17 C. 17/44 D. 23/44
D. 23/44
A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated. Let event A be defined as randomly choosing someone who picked cats or dogs as their favorite pet. Let event B be defined as a randomly chosen person being male. Find P(B| NOT A). A. 3/104 B. 3/53 C. 53/104 D. 3/4
D. 3/4
An online survey asked a sample of high school students their favorite type of music, and the results were tabulated above. Find the probability that a person chosen at random did not choose pop music, given that the student is a sophomore or a junior. A. 8/103 B. 47/206 C. 16/63 D. 87/103
D. 87/103
C D E Total A 0.15 0.2 0.15 0.5 B 0.05 0.3 0.15 0.5 Total 0.2 0.5 0.3 1 Which of the following can be determined from the table above? A. Events D and A are independent. B. Events D and B are independent. C. Events A and B are independent. D. Events E and B are independent.
D. Events E and B are independent.
