A system is made up of two subsystems, A and B, connected in parallel. Subsystem A is made up 5 Components connected in parallel. Subsystem B is made up of 5 components connected in series. All components function independently. The probability that a component is operational is 0.7. let P(S) Donate the probability that the system is operational.
a. find P(S)
b. A component from subsystem A is tested and found to be operational. Find P(S).
c. A component from subsystem B is tested and found to be operational. Find P(S).
d. A component is randomly selected (from A or B, equally) and found to be operational. Find P(S).
A system is made up of two subsystems, A and B, connected in parallel. Subsystem A...
4. A system is made up of two subsystems, A and B, connected in parallel. Subsystem A is made up of 5 components connected in parallel. Subsystem B is made up of 5 components connected in-series. All compopents function inde- pendently. The probability that a component is operational is 0.7. Let P(S) denote the probability that the system is operational. b) A component Prons Subsys bein A is teste avel Counol to be o Perationol. Find PCS) e) A com...
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.)...
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,...
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...
SHOW ALL WORK! PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in the accompanying picture. Components 3 and4 are connected in series (call this subsystem 3-4). Subsystem 3-4 will work only if both components 3 and 4 work. In order for the entire system to function, it must be the case that component 1 functions (Ai) or component 2 functions (A2) or that subsystem 3-4 functions (A34). Suppose that each individual component functions independently of all...
Question 2 (6 points) A system contains two components, A and B, connected in series, as shown in the diagram. Assume A and B function independently. For the system to function, both components must function. a. If the probability that A fails is 0.05, and the probability that B fails is 0.03, b. If both A and B have probability p of failing, what must the value of pbe so c. If three components are connected in series, and each...
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...
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...
The system shown in the figure below is made up of 4 components (A.B.C.D) that operate independently of each other. It each component has the probability of working equals 0.91.Pride probability that the system is working
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...