Three components are connected to form a system as shown in the accompanying diagram. Because the components in the 2-3subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For theentire system to function, component 1 must function and so must the 2-3 subsystem.2The experiment consists of determining the condition of each component [S (success) for a functioning component and F (failure)for a nonfunctioning component]. (Enter your answers in set notation. Enter EMPTY or for the empty set.)(a) Which outcomes are contained in the event A that exactly two of the three components function?A =x(b) Which outcomes are contained in the event B that at least two of the components function?B =(c) Which outcomes are contained in the event C that the system functions?C =(d) List outcomes in C'.C' =List outcomes in A u C.AUC=List outcomes in An C.An C=List outcomes in Bu C.BUC=List outcomes in B n C..BAC =

Answered: Image /qna-images/answer/e1f43f02-ab82-4131-910f-171d3c9a0d0d.jpg

Answered: e system to function, component 1 must…

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 firm making production plans believes there is a 30% probability the price will be $10, a 50% probability the price will be $15, and a 20% probability the price will be $20. The manager must decide whether to produce 6,000 units of output (A), 8,000 units (B) or 10,000 units (C). The following table shows 9 possible outcomes depending on the output chosen and the actual price. Production $10 $15 6,000 (A) -$200 $400 8,000 (B) -$400 $600 10,000 (C) -$1,000 $800 If the mean-variance rule is used, how much should the firm produce? Multiple Choice O 6,000 8,000 Profit (Loss) when price is $20 $1,000 $1,600 $3,000 10,000 cannot use this rule to make the decision X
Example 4.7 Out of 1800 candidates appeared for a competitive examination 625 were successful; 300 had attended a coaching class and of these 180 came out successful. Test for the association of attributes attending the coaching class and success in the examination.
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.)
A system has six components connected as shown in the following diagram: A Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F fail are 0.01, 0.05, 0.02, 0.08, 0.10, and 0.05 respectively, what is the probability that the system fails?
Q7. A survey was conducted in which 100 males and, independently, 100 females were asked about their respective methods of transportation to work. Participants were asked whether they typically drive to work, use public transportation, or walk / bicycle. The results are given in the table below. Can the investigators conclude that males differ from females in their work commute tendencies? Show your work. Drive Public Transportation Walk or Bicycle 22 Females 71 7 Males 76 18 6 (a) Based on the assumption that female and male tendencies are alike, construct a table of expected frequencies. (b) Use a X² test to evaluate the assumption used in part a. Make sure you indicate which test you are using! (c) Interpret the result of part b in terms of the situation of the problem, without using any statistical language.
2-25. Let A and B be the two possible outcomes of an experiment and . P(B)=p suppose P(A) = 0:4, (i) For what choice of p are A and B mutually exclusive? (ii) For what choice of p are A and B independent ? P (AU B) = 0-7 and

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