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PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in...
Assignment 3 Independence PROBLEM 3.1 (pg 87, #78) A boiler has 5 identical relief values. The...
Assignment 3 Independence PROBLEM 3.1 (pg 87, #78) A boiler has 5 identical relief values. The probability that any particular value will open on demand is 0.7. Let A, be the event that value i opens,i 1,2,3,4,5. Thus P(A)-0.7. Due Assuming independent operation of the valves, calculate the probability that: a. Odd numbered valves open and the rest fail to open or b. atleast one valve opens AU UA, or PROBLEM 3.2 (pg 87, #80-see diagram below) Consider the system...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are...
Consider the system of components connected as in the
accompanying picture. Components 1 and 2 are connected in parallel,
so that subsystem works if and only if either 1 or 2 works; since 3
and 4 are connected in series, that subsystem works if and only if
both 3 and 4 work. If components work independently of one another
and P(component i works) = 0.73 for
i = 1, 2
and = 0.65 for
i = 3, 4,
calculate P(system...
of components connected as in the Consider the system accompanying picture. Components 1 and 2 are...
of components connected as in the Consider the system accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only it either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and p(component i works)-0.84 for ,-1, 2 and-0.7 for i-3, 4, calculate Pisystem works). (Round your answer to tour decimal places.)...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are conn or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another works)-0.76 for -1,2 and-0.75 for 3,4, calculate Ptsystem works). (Round your answer to four decimal places.,) ected in paralel, so that subsystem works if and only it either 1 and Ptcomponent Need Help?
Problem 4 Consider the system of components connected as depicted below. The system can be thought...
Problem 4 Consider the system of components connected as depicted below. The system can be thought of as being comprised of two subsystems: one with components A and B, and the other with components C and D. Components A and B are connected in parallel, therefore that subsystem works iff either A or B works. Since C and D are connected in series, that subsystem works iff both C and D work. Components work independent of each other (that is,...
Exam 2 STAT 3010-090 Note: This is a CLOSED BOOK test. Total (100 pt.) (24 pt.)...
Exam 2 STAT 3010-090 Note: This is a CLOSED BOOK test. Total (100 pt.) (24 pt.) (16 pt.) (18 pt.) (18 pt.) (24 pt.) 1. Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works when either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works when both 3 and 4 work. Assume all components work independently of one another, and...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsyslern works if and onlyif either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P component i works 0.74 for , 1, 2 and-0.71 for ī-3, 4 calculate P ystem works). (Round your answer to...
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if...
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if the system functions during a given mission time if and only if at least k of the n components function. Suppose that all components function independently of each other. a) If the ith component functions with probability P, i-1,2,3 derive the formula for the probability that a 2-out-of-3 system functions. b) Repeat part a) for a 3-out-of-4 system. c) Calculate the probability that the...
4. A parallel system functions whenever at least one of its components works. Suppose you have...
4. A parallel system functions whenever at least one of its components works. Suppose you have two separate parallel systems, A and B, each consisting of n identical components that work independently with probability p. a) Consider parallel system A. Given that the system is functioning, what is conditional probability that component 1 works? (This has nothing to do with B yet.) Suppose system B breaks down (all n of its components fail), but system A remains functional. To get...
Please show all work for Number 2. Thank you. ) Solve the nonhomogeneous system: (t) 5...
Please show all work for Number 2. Thank you.
) Solve the nonhomogeneous system: (t) 5 -2 x(sinh(t) 7.jk(t)-| cosh(t)) 20 An interesting application that leads to a system of differential equations is the study of an arms race. The presentation given here is often called the Richardson model, since it was first proposed by the English metcorologist L.E Richardson. We wish to consider the problem of two countries with expenditures for armaments, x and y, measured in billions of...
Assignment 3 Independence PROBLEM 3.1 (pg 87, #78) A boiler has 5 identical relief values. The probability that any particular value will open on demand is 0.7. Let A, be the event that value i opens,i 1,2,3,4,5. Thus P(A)-0.7. Due Assuming independent operation of the valves, calculate the probability that: a. Odd numbered valves open and the rest fail to open or b. atleast one valve opens AU UA, or PROBLEM 3.2 (pg 87, #80-see diagram below) Consider the system...
Consider the system of components connected as in the
accompanying picture. Components 1 and 2 are connected in parallel,
so that subsystem works if and only if either 1 or 2 works; since 3
and 4 are connected in series, that subsystem works if and only if
both 3 and 4 work. If components work independently of one another
and P(component i works) = 0.73 for
i = 1, 2
and = 0.65 for
i = 3, 4,
calculate P(system...
of components connected as in the Consider the system accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only it either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and p(component i works)-0.84 for ,-1, 2 and-0.7 for i-3, 4, calculate Pisystem works). (Round your answer to tour decimal places.)...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are conn or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another works)-0.76 for -1,2 and-0.75 for 3,4, calculate Ptsystem works). (Round your answer to four decimal places.,) ected in paralel, so that subsystem works if and only it either 1 and Ptcomponent Need Help?
Problem 4 Consider the system of components connected as depicted below. The system can be thought of as being comprised of two subsystems: one with components A and B, and the other with components C and D. Components A and B are connected in parallel, therefore that subsystem works iff either A or B works. Since C and D are connected in series, that subsystem works iff both C and D work. Components work independent of each other (that is,...
Exam 2 STAT 3010-090 Note: This is a CLOSED BOOK test. Total (100 pt.) (24 pt.) (16 pt.) (18 pt.) (18 pt.) (24 pt.) 1. Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works when either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works when both 3 and 4 work. Assume all components work independently of one another, and...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsyslern works if and onlyif either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P component i works 0.74 for , 1, 2 and-0.71 for ī-3, 4 calculate P ystem works). (Round your answer to...
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if the system functions during a given mission time if and only if at least k of the n components function. Suppose that all components function independently of each other. a) If the ith component functions with probability P, i-1,2,3 derive the formula for the probability that a 2-out-of-3 system functions. b) Repeat part a) for a 3-out-of-4 system. c) Calculate the probability that the...
4. A parallel system functions whenever at least one of its components works. Suppose you have two separate parallel systems, A and B, each consisting of n identical components that work independently with probability p. a) Consider parallel system A. Given that the system is functioning, what is conditional probability that component 1 works? (This has nothing to do with B yet.) Suppose system B breaks down (all n of its components fail), but system A remains functional. To get...
Please show all work for Number 2. Thank you.
) Solve the nonhomogeneous system: (t) 5 -2 x(sinh(t) 7.jk(t)-| cosh(t)) 20 An interesting application that leads to a system of differential equations is the study of an arms race. The presentation given here is often called the Richardson model, since it was first proposed by the English metcorologist L.E Richardson. We wish to consider the problem of two countries with expenditures for armaments, x and y, measured in billions of...
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