The major airline industry is subject to labor strikes by the pilots, mechanics, and flightattendants or by two or more of these labor groups. Use the following events:A-Strike by the pilots;B-Strike by the mechanics; andC-Strike by the flight attendantsAssume that strikes by the different labor groups are statistically independent and theprobabilities of strikes in the next three years by the individual groups are the following:P(A)=0.025, P(B)=0.055, and P(C)=0.05. Determine the probability of a labor strike in the majorairline industry in the next 3 years?

Event A defines strike by the pilots, event B defines the strike by the mechanics and event C…

Answered: The major airline industry is subject…

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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Consider two events following receiving a bachelor’s degree from a prestigious university: A = {being accepted into a graduate program} and B = {receiving a job offer}. We know the following is true: P(A) = P(B) = 0.7 P(A|B) = 0.9 Are events A and B independent? Why or why not?
In a group of 80% female and 20% male; 3/4 of women and 1/2 of men do sports. What is the probability that someone selected from the group is a woman or a sports person?
QUESTION 4 If P( A) =.60, P( B) = .40, and events A and B are independent, what is P( AI B) ?
All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?
An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.4, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below. (a) P(B)(b) P(F | B)(c) P(B F)(d) P(F)(e) Does P(B F) = P(B) · P(F)? YesNo (f) Are B and F independent events? YesNo
A kid has three remote controlled toy race cars and he plays with them 25%, 35% and 40% of the time respectively. The remote controls of the cars can sometimes malfunction, namely 5%, 7% and 9% of the time. If during a race the remote malfunctioned, what is the probability that he was playing with his first car? O A. 0.0125 OB. 0.1712 OC. 0.4932 OD. 0.3356
Virtually any process can be improved by use of statistics, including the law. A much publicized case that involved a debate about probability was the Collins case, which began in 1964. An incident of purse snatching in the Los Angeles area led to the arrest of Michael and Janet Collins. At their trial, an "expert" presented the probabilities listed in table below on characteristics possessed by a couple seen running from the crime scene: Characteristics Probability Man with beard 1/10 Blond woman 1/4 1/10 Yellow car Woman with ponytail Man with moustache Interracial couple 1/10 1/3 1/1000 The chance that a couple had all these characteristics together is 1 in 12 million. Because the Collinses had these characteristics, the Collinses must be guilty. Do yo see any problem with this line of reasoning? Hint: The question of interest is not "what is the probability of finding a couple with these characteristics?" because one such couple has been found (the Collinses), the question is "what…
Blood Types and Rh Factors In addition to being grouped into four types, human blood is grouped by its Rhesus (Rh) factor. Consider the figures below that show the distributions of these groups for Americans. A B АВ Rh + 37% 34% 10% 4% Rh - 6% 6% 2% 1% Source: www.infoplease.com Send data to Excel Choose 1 American at random. Find the following probabilities. Enter your answers as decimals rounded to 3 decimal places.
Example 4.2:- As shown in the table below that gives the age distribution of companies. Find the following probabilities: 1-Ages (30-39). 2-Age=45. 3-Age>50. 4-Age<40. individuals starting new 30 - 39 40- 49 50-59 60 - 69 Age Frequency 20 - 29 11 25 14 3
The management of the large department store in Example B.1 must determine whether more training is neededfor the customer service clerk. The clerk at the customer service desk can serve an average of three customersper hour. What is the probability that a customer will require 10 minutes or less of service?
A kid has three remote controlled toy race cars and he plays with them 25%, 35% and 40% of the time respectively. The remote controls of the cars can sometimes malfunction, namely 5%, 7% and 9% of the time. If during a race the remote malfunctioned, what is the probability that he was playing with his third car? OA. 0.3356 OB. 0.1712 OC.0.4932 O D. 0.0360
Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On the basis of this information, estimate the probability that a bolt will be defective.

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