Financial Sector Conforms yes no10 15101530 20123Denote by A₁, A2, A3 the events the company comes from Sector 1,2 and 3 respectively and C and NCthe events the company conforms or not conforms. Find the probability of:a) A company selected randomly belongs to Sector 2.b) A company selected randomly belongs to Sector 1 and does not conform to good RM practices.c) A company selected randomly belongs to Sector 1 or does not conform to good RM practices.d) Given that the company conforms to good RM practices, find the probability it belongs to Sector 1.e) Are the events A₂ and C independent? Justify.

The question is about probability Given : To find : a ) Prob. that a rand. selected belongs to…

Answered: Financial Sector Conforms yes no 1 10…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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If A and B are two mutually exclusive events with P(A)= 0.5 and P(B)=0.4, find the following probabilities: a) P(A \textrm{ and } B) = 0.5 b) P(A \textrm{ or } B) = c) P( \textrm{not }A ) = d) P( \textrm{not }B ) = 0.4 e) P( \textrm{not }(A \textrm{ or } B)) = 0.4 f) P( A \textrm{ and } (\textrm{not }B) ) =
A large cable company reports that 42% of its customers subscribe to its Internet service, 32% subscribe to its phone service and 23% subscribe to both its Internet service and phone service. a) What is the probability that a randomly selected customer subscribes to the Internet service or the phone service? b) What percent of customers subscribe to neither the Internet service nor the phone service?
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)?
11.) Upon arrival at a hospital emergency room, patients are categorized according to their conditions as critical, serious, or stable. In the past year: (i) 10% were critical (ii) 30% were serious (iii) the rest were stable (iv) 40% of critical patients died (v) 10% of serious patients died (vi) 1% of stable patients died Given that a patient survived, what is the probability that the patient was categorized as serious upon arrival? This is a Bayes' Theorem problems.
The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several lakes in your water district. A total of 10 devices will be used. Assume that each device has a probability of 0.01 of failure during the course of the monitoring period. a) What is the probability that none of the devices fail? b) What is the probability that two or more devices fail? c) If the EPA requires the probability that none of the devices fail to be at least 0.95, what is the largest individual failure probability allowable?
At a particular college, 40% of students receive an academic scholarship, 85% of students live on campus, and 30% of students live on campus and receive an academic scholarship. 1. What is the probability a student receives a scholarship at this college, given they live on campus? 2. What is the probability a student lives on campus, given they receive a scholarship?
The distribution of car rental by municipal members from the three companies is as follows:60% from company1, 30%from company2 and 10% from company3. According to historical data, 9% of vehicles from company1, 20% of vehiclesfrom company2 and 6% of vehicles from company3 require maintenance,a) What is the probability that a vehicle rented to the municipality will require maintenance?b) What is the probability that the vehicle that needs maintenance is from the 2nd company?
Assume that males obtain 44% of all bachelor’s degrees in a particular country and that 22% of all bachelor’s degrees are in business. Also, 5% of all bachelor’s degrees go to males majoring in business. Are the events the bachelor’s degree holder is a male” and “the bachelor’s degree is in business” statistically independent?
2. It has been found that 80% of all solar power packages work properly at the time of installation. The rest require some adjustment. A particular company sells 10 packages a month. a) Find the probability that at least 9 of the packages work properly upon installation. b) Consider 5 months in which 10 packages are sold each month. What is the probability that at least 9 packages work properly in each of the 5 months?
1. Assume your computer network may have been hacked and computers may have 2 different types of viruses (virus type-A and virus type-B). The current situation shows that 15% of computers end up with type-A virus, 10% end up with type-B virus, and 10% of the computers infected with type-A or type-B virus have both viruses. 1.a) Compute the probability that a computer is infected with both viruses 1.b) Compute the probability that a computer has type-B virus given that it has type-A virus
c. In a poll, 500 individuals of different ages were asked to specify if they are in favour of a newly proposed law. The poll results, categorized by age group, are displayed in the following table: In Favour? \ Age Group Yes No Unsure 16-39 98 43 32 40-59 72 75 19 Find the probability that an individual picked at random: is older than 39 and is in favour of the proposed law; i. ii. is against the proposed law given that they fall in the age group 40-59; iii. falls in the age groups below 60 years given that they are unsure. 60+ 56 84 21
A company in this town specializes in renting out cars to tourists for one day at a time. Finnur, a tourism expert, works for the company and has closely monitored the rental and found that it can be assumed that the number of rentals is on average 1.2 cars per day. a) What probability distribution is normal to use to describe the number of rentals per day and what is the value of its parameters? b) Finn's company owns two cars. What is the probability that the company can not meet another demand in one day? (The cars are only rented out one day at a time) c) What is the probability that in the next two days 3 tourists will come to the company and want to rent a car?

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