Two-way tables, Venn diagrams, and probability
Fifty people were surveyed about their preference between chocolate and vanilla cake. The following two-way table displays data for the sample of people who responded to the survey.
ANSWER: NO & 0.8
The principal of a high school needs to plan to seat for commencement. The following two-way table displays data for the students who are involved in this year's commencement ceremony.
ANSWER: NO & 0.9625
A civics teacher asked her students to indicate whether they believed each of two headlines. One headline was false and the other was true, but the students did not know this. The probability that a student selected at random believed the true headline was 90\%90%90, percent and the probability that the student believed the false headline was 82\%82%82, percent. She found that 75\%75%75, percent of the students believed both headlines.
ANSWER: NO & 0.97
Employees at an office were surveyed about what types of hot beverages they drank that day. It was found that 50% of them drank coffee and 25% drank tea. The survey showed that 10% of the employees drank both coffee and tea.
ANSWER: NO & 65%
The usher at a wedding asked each of the 808080 guests whether they were a friend of the bride or of the groom. Here are the results: A Venn Diagram has 2 overlapping groups: Bride, 17 and Groom, 20. The overlapping area shared by both Bride and Groom is 42. The area not included by any group is identified as 1. In this sample, are the events "bride" and "groom" mutually exclusive?
ANSWER: NO & 79/80
A restaurant noted what type of food its customers purchased last week. Here are the results: In this sample, are the events "burger" and "fries" mutually exclusive?
ANSWER: NO & 80%
A hospital tracked the day of the week each baby was born and whether or not the delivery was scheduled in advance. The following two-way table displays data for the sample of babies born in a particular year at that hospital.
ANSWER: YES & 0.32
When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the probability that car was mainly white was 0.240.240, point, 24, the probability that it was mainly silver was 0.220.220, point, 22, and the probability that it was mainly black was 0.190.190, point, 19. In this region, are the events "silver" and "black" mutually exclusive?
ANSWER: YES & 0.41
Salon
ANSWER: YES & 0.5
A business owner noted the features of the 100100100 cars parked at the business. Here are the results: A Venn Diagram has 3 overlapping groups: Sunroof, 13; 2 Doors, 14; and 4 Doors, 25. The overlapping area shared by both 2 Doors and Sunroof is 18. The overlapping area shared by both 4 Doors and Sunroof is 20. The overlapping area shared by both 2 Doors and 4 Doors is 0.The area shared by all 3 groups is 0. The area not included in any group is identified as 10. In this sample, are the events "222 doors" and "444 doors" mutually exclusive?
ANSWER: YES & 0.77
The theater director offered every member of the drama one vote for which play they preferred to perform. The director found that 35\%35%35, percent voted for The Oddems Family, that 57\%57%57, percent voted for Thirteenth Night, and that 8\%8%8, percent did not vote.
ANSWER: YES & 0.92
Two hundred people were surveyed about whether or not they like recreational reading and academic reading. The following two-way table displays data for the sample of people who responded to the survey.
ANSWER: YES & 1