An insurance company considers that people can be split in two groups : thosewho are likely to have accidents and those who are not. Statistics show that a personwho is likely to have an accident has probability 0.4 to have one over a year; thisprobability is only 0.2 for a person who is not likely to have an accident. We assumethat 30% of the population is likely to have an accident.(a) What is the probability that a new customer has an accident over the first year ofhis contract?(b) A new customer has an accident during the first year of his contract. What is theprobability that he belongs to the group likely to have an accident?Ans: (a- 0.26, b- 0.46)

Let us define some events A : a new customer belongs to the group likely to have an accident B : a…

Answered: (a) What is the probability that a new…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 60% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)
Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 81% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)
A survey found that 62% of callers in the United States complain about the service they receive from a call center if they suspect that the agent who handled the call is foreign.11 Given this context, what is the probability that (state your assumptions) (a) the next three consecutive callers complain about the service provided by a foreign agent? (b) the next two calls produce a complaint, but not the third? (c) two out of the next three calls produce a complaint? (d) none of the next 10 calls produces a complaint?
Peter oversees the electronics section of a large department store. He has noticed that the probability that a customer who is just browsing will buy something is 0.2. Suppose that 10 customers browse in the electronics section each hour. (i) What is the probability that no browsing customers will buy something during a specified hour? (ii) What is the probability that at least one browsing customer will buy something during a specified hour?
Suppose Emerson loses 26% of all checker games. (a) What is the probability that Emerson loses two checker games in a row? (b) What is the probability that Emerson loses five checker games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson loses five checker games in a row, but does not lose six in a row. (a) The probability that Emerson loses two chockor
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Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows. Answer questions 6-9. Undergraduate Major Business Engineering Other Totals Full-Time 352 197 251 800 Intended Enrollment Part- 150 161 194 505 Status Time Totals 502 358 445 1305
Suppose Nate wins 25% of all thumb wars. (a) What is the probability that Nate wins two thumb wars in a row? (b) What is the probability that Nate wins three thumb wars in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Nate wins three thumb wars in a row, but does not win four in a row. (a) The probability that Nate wins two thumb wars in a row is 0.0625 (Round to four decimal places as needed.) (b) The probability that Nate wins three thumb wars in a row is (Round to four decimal places as needed.) (c) The probability that Nate wins three thumb wars in a row, but does not win four in a row is (Round to four decimal places as needed.)
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17. Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, "When you see an ad emphasizing that a product is 'Made in America,' are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group are presented in the following contingency table 18-34 35-44 45-54 55+ More likely 238 329 360 402 1329 Less likely 22 22 16 66 282 Neither more 201 164 118 765 nor less likely Total 542 536 546 536 2160 Source: The Harris Poll
(a) (i) On New Year's Eve, the probability of a person driving while intoxicated is 0.23, the probability of a person having a driving accident is 0.06, and the probability of a person having a driving accident while intoxicated is 0.09. What is the probability of a person driving while intoxicated or having a driving accident? (ii) Event A is the event that a person remembers a certain product commercial. Event B is the event that a person buys the product. If P(A) = 0.20 and P(B/A) = 0.45. Find P(A and B) (b) Find the outliers of the following data: 23, 36, 21, 66, 38, 25, 39

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(a) What is the probability that a new customer has an accident over the first year of his contract? (b) A new customer has an accident during the first year of his contract. What is the probability that he belongs to the group likely to have an accident?