A certain type of car model has a defective part in its engine, causing the engine to fail10% of the time. However, the engine fails 2% of the time due to reasons other thanthe defective part. A dealership sells this car model and 0.5% of the cars sold have thedefective part.(a) What is the probability that a randomly selected car from the dealership will havean engine failure?(b) Calculate the conditional probability that a car selected at random from thedealership has the defective part, given that the engine has failed.

Let A denote the event that engine fails and B denote the event that the engine has defective part.…

Answered: A certain type of car model has a…

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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Similar questions

About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less. Company ABC has 1035 employees. What is the probability that Company ABC will get the discount?
A manufacturing company uses an acceptance scheme on items from a production line before they are shipped. The plan is a two-stage one. Boxes of 26 items are readied for shipment, and a sample of 3 items is tested for defectives. If any defectives are found, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped. (a) What is the probability that a box containing 3 defectives will be shipped? (b) What is the probability that a box containing only 1 defective will be sent back for screening?
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.)
The television show Pretty Betty has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Pretty Betty. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a Pretty Betty broadcast. Find the probability that none of the households are tuned to Pretty Betty. P(none) = Find the probability that at least one household is tuned to Pretty Betty. P(at least one) - Find the probability that at most one household is tuned to Pretty Betty. P(at most one) - If at most one household is tuned to Pretty Betty, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Pretty Betty unusual?) no, it is not wrong O yes, it is wrong
(c) Five chocolate biscuits are taken at random from a packet of 11 biscuits and inspected as a quality assurance test in a factory. The packet is rejected if more than 1 biscuit is found to have a fault which makes the biscuit of poor quality. If there are actually 3 poor quality biscuits in a packet currently being inspected, find the probability that this packet is accepted.
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that at least 4 flights arrive on time. (b) Would it be unusual for Southwest to have 3 flights arrive late?(Enter YES or NO)

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