An insurance company rents 35% of the cars for its customers from agency 1 and 65% from agency 2. If 8% of the cars of agency 1 and 5% of the cars of agency 2 break down during the rental periods, what is the probability that a car rented by this insurance company breaks down?

An insurance company rents 35% of the cars for its customers from agency 1 and 65% from agency 2. If 8% of the cars of agency 1 and 5% of the cars of agency 2 break down during the rental periods, what is the probability that a car rented by this insurance company breaks down?

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...

See similar textbooks

Similar questions

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 19.1% daily failure rate. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam?
Zeynep plans to invest in Company 1, 2, 3, 4, 5 or 6.An investment is classified to be either a good investment or a bad investment.
A stock index consists of businesses in both Europe and the United States. Assume that each business comprising the stock index makes a profit or loss independently of the other businesses in the index. Suppose that an American business on the stock index makes a profit 60%60% of the time and a European business makes a profit 80%80% of the time. If there are 840 American businesses and 720 European businesses in the stock index, what is the expected number of businesses in the stock index to make a profit?
Detecting terrorists is a real problem, one that causes governments to spend millions per year. A particular surveillance system has been developed which correctly identifies a future terrorist 99% of the times and detects someone who is not a future terrorist 99.9% of times. Suppose that in a population of 300 million, there are 1000 potential/future terrorists. If one of these 300 million is randomly selected and scrutinized by the system, what is the probability that the person selected is actually a future terrorist? Also explain if the value of this probability makes you uncomfortable about using a surveillance system? Explain.
Composite blood testing is sometimes used to save costs. A Hepatitis-C composite blood test means that when several blood samples are mixed together and tested for Hepatitis- C. The probability of testing positive for Hepatitis-C in a certain population is 0.490. If 4 bloodsamples are mixed together, what is the probability that composite sample would be positive (in other words, what is the probability that at least one of the people in the group is positive for Hepatitis-C)?
3. A retailer sells two brands of batteries that experience indicates are equal in demand. If he stocks two of each brand (which means he has 4 batteries in his store), what is the probability that a customer seeking to purchase two batteries, purchases the same brand? 1/3 2/3 01/2 1/4
Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time 90% of the time. Airline A has twice as many flights as Airline B, and Airline B has three times as many flights as Airline C. One flight is selected at random from one of these airlines. (a) What is the probability this flight on time? (b) Given that the flight is on time, what is the probability it is from Airline A?
A manufacturing process produces, on the average, 3% defective items. The company ships 15 items in each box and wishes to guarantee no more than 1 defective item per box. If this guarantee accompanies each box, what is the probability that the box will fail to satisfy the guarantee?
A WAL*MART manager has five good light bulbs and four defected light bulbs in Box 1 and four good light bulbs and five defected light bulbs in Box 2. If the manager transfers one light bulb at random from Box 1 to Box 2, what is the probability of his then drawing a good light bulb from Box 2? (Round to four decimal places. Do not use %)
A company buys microchips from three suppliers I, II and III. Supplier I has a record of providing microchips that contain 10% defective; supplier a defective rate of 5% and supplier III has a defective rate of 3%. Suppose 10%, 40% and 50% of the current supply came from suppliers I, II and III, respectively. If a randomly selected microchip is defective, what is the probability that it came from supplier II? Express your answer accurate to two decimal places. O 48 O..40 O something else O 44 O 41
Suppose we build a taco-making machine. But there is a fatal flaw in the machine, where for each taco made, there's a 5% chance that it's actually a toxic taco. If the machine makes 100 tacos, what is the probability that at most 2 of them are toxic?
3. You get a haircut from Barber Shop 1 30% of the time and Barber Shop 2 70% of the time. Barber Shop 1 gives a good haircut 80% of the time and a bad haircut 20% of the time while Barber Shop 2 gives a good haircut 90% of the time and a bad haircut 10% of the time. For any given haircut, the probability that it is a bad haircut from Barber Shop 1 is Barber Shop 2 is and the probability that it is a good haircut from O.06; .63 .2; .73 O.06; .73 .2; .63