Use the following information for Questions 15 - 16. Carry out calculations to 4 decimals.
their warranty policy, an automobile company estimates that over a 1-year period 17% of their new cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. You and your spouse each buy a new car.
15) What is the probability that both will need repair in the first year?
16) What is the probability that at least one car will need repair in the first year?
Use the following information for Questions 17 - 18.
A Panda Worldwide survey in 2005 asked consumers in 5 countries whether they agreed with the statement "I am worried about the safety of the food I eat." Here are the responses classified by the age of the responded. If we select a person at random from this sample:
Agree Neither Agree nor Disagree Disagree Don't Know/ No Response Total
Age 13-19 661 368 452 32 1513
20-29 816 365 336 16 1533
30-39 871 355 290 9 1525
40-49 914 335 266 6 1521
50+ 966 339 283 10 1598
Total 4228 1762 1627 73 7690
17) What is the probability that the person is younger than 50 years old and agrees with the statement?
18) What is the probability that the person is younger than 50 years old or agrees with the statement?
Use the following information for Questions 19 - 21.
In the cancer ward at Mercy Hospital there is a .1 probability of Lung Cancer, additionally it is known that the probability is .07 that an individual in the ward is a smoker given he/she has lung cancer, it is also known that the probability that an individual is a smoker and does not have lung cancer is .043, and the probability of having lung cancer and smoking is .007.
19) Given the above information, what is the probability of an individual in the ward not being a smoker and having lung cancer?
20) Given the above information, what is the probability of an individual being a smoker?
Use the following information to answer Questions 21 - 22.
A Human Resource office is drafting an online job application for a particular position within the company. A part of the form lists 3 categories, each with several options under it.
Second Language Skills Logic/Reasoning Skills Computer Skills
French Critical Thinking Excel
Spanish Complex Problem Solving Access
Chinese Analytical Reasoning SAS
Judgment/Decision Making SAP
21) In one part of the form the applicant is instructed to mark his/her strength in each category (one mark under each category). How many different ways are possible for an application to be marked?
22) In a different part of the form, the applicant is instructed to consider the Computer Skills set and list the #1 and #2 software in which he is most proficient. How many different ways can a random applicant answer this question?
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