In a certain four-engine vintage aircraft, now quite unreliable, each engine has a 15% chance of failure on any flight, as long as it iscarrying its one-fourth share of the load. But if one engine fails, then the chance of failure increases to 30% for each of the otherthree engines. And if a second engine fails, each of the remaining two has a 45% chance of failure. Assuming that no two enginesever fail simultaneously, and that the aircraft can continue flying with as few as two operating engines, find the probability for noengine failures.

we can use the concept of conditional probability and the law of total probability. Let's break…

Answered: Hain four-engine vintage aircraft, now…

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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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?
Suppose a person is thinking about entering a MarioKart competition at theirlocal videogame store. The competition costs 20 dollars to enter. The competition consists of 10 matches. The person knows that their chance of winning each match is 65% and that each match is independent of the others. The payout for the competition is: WIN ALL 10 Matches: 500 Dollar Prize WIN 9 Matches: 250 Dollar PrizeWIN 8 Matches: 50 Dollar Prize OTHERWISE: Nothing 1) Suppose that this person enters the competition 5 times.What is the probability they break even?(Hint: To break even they would need to win the $50 prize twice and lose the other three times. Use a modified binomial to calculate this probability.)
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
Suppose the entire cola industry produces only two colas. Given that a person last purchased cola 1, there a 70% chance that her next purchase will be cola 1. Given that a person last purchased cola 2, there is an 75% chance that her next purchase will be cola 2. Suppose that each customer makes one purchase of cola during any week (52 weeks=1 year). Suppose there are 150 million customers. One selling unit of cola costs the company $0.5 to produce and is sold for $2. For $200 million per year, Britney Spears (by an advertising song) guarantees to decrease from 30% to 15% the fraction of cola 1 customers who switch to cola 2 after a purchase. Should the company that makes cola 1 hire Britney Spears?
According to KRomenx, Snell, and Thompson, 2 the Land of Oz is blessed by many things, but not by good weather. They never have two nice days in a row. If they have a nice day, they are just as likely to have snow as rain the next day. If they have snow or rain, they have an even chance of having the same the next day. If there is change from snow or rain, only half of the time is this a change to a nice day. DRAW TRANSITION GRAPH AND PROBABLOLITY MATRIX
Dace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors (Aspirants B and C). She analyzed that B and C have exactly the same chance of winning a seat while A has twice the chance of either B and C. With the given information, what is the chance of A in winning.
In a certain four-engine vintage aircraft, now quite unreliable, each engine has a 15% chance of failure on any flight, as long as it is carrying its one-fourth share of the load. But if one engine fails, then the chance of failure increases to 30% for each of the other three engines. And if a second engine fails, each of the remaining two has a 45% chance of failure. Assuming that no two engines ever fail simultaneously, and that the aircraft can continue flying with as few as two operating engines, find the probability for no engine failures.
You are interested in finding out if kangaroo rats that have been offered food ad lib(unlimited food) for the previous 24 hours store a different amount of food in their pouches than kangaroo rats that have been starved for 24 hours. You take 8 kangaroo rats and starve them for 24 hours, then offer them food and count how many seeds are stored in their pouches in the next hour. You let your rats rest for one week, and repeat the experiment with the same rats, but offer them unlimited food for the 24 hours prior to the experiment. Run the appropriate statistical test. Rat ID # Seeds (starving) 3 Seeds (ad lib) 1 10 26 2 16 23 3 15 16 4 12 17 5 21 29 6 13 21 7 12 32 8 10 18
You are considering purchasing stand-alone shares in two companies: Company A and Company B. While both companies expect a rate of return of 15% under normal market conditions, the possible returns under strong and weak economies differ. There is a 30% chance of a weak economy outcome, a 30% chance of a strong economy outcome, and a 40% chance of a normal outcome. For Company A, under a strong economy, they expect a return of 75%. Under a weak economy, they expect a return of -45%. For Company B, under a strong economy, they expect a return of 23%. Under a weak economy, they expect a return of 7.5%. 1. Create a probability distribution table for both companies. 2. Calculate the standard deviation for both companies. 3. With the distribution, create either a bar graph or a bell curve to graph the two companies. 4. From your calculations, describe which company you would consider investing in, if you were risk averse.
1
21 The Ebola virus has an infection rate of 11% per day as compared to the SARS virus, which has a rate of 4% per day. If there were one case of Ebola and 30 cases of SARS initially reported to authorities and cases are reported each day, which statement is true? At day 10 and day 53 there are more Ebola cases. (2) At day 10 and day 53 there are more SARS cases. (3) At day 10 there are more SARS cases, but at day 53 there are more Ebola cases. (4) At day 10 there are more Ebola cases, but at day 53 there are more SARS cases.

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