Homework Answers
Given that all the components are work independently
a) P(either 1 or 2 works) = 0.9 + 0.9 - P(both work) = 1.8 - (0.9)^2 = 1.8 - 0.81 = 0.99
b) P(both 3 and 4 works) = 0.9*0.9 = 0.81.
c) P(system works) = P(both 3 and 4 works or either 1 or 2 works) = 0.99 + 0.81 - P(1,3,4 works or 2,3,4) = 1.8 - (2*0.9^3) = 0.342
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Exam 2 STAT 3010-090 Note: This is a CLOSED BOOK test. Total (100 pt.) (24 pt.)...
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?
SHOW ALL WORK! PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in...
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...
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,...
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 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...
1. If the probability that C fails is 0.1 and the probability that D fails is 0.12,...
1. If the probability that C fails is 0.1 and the
probability that D fails is 0.12, find the probability that the
system functions. Round the answer to four decimal places.
2. If both C and D have probability p of failing, what
must the value of p be so that the probability that the
system functions is 0.98?
3. If three components are connected in parallel, function
independently, and each has probability p of failing, what
must the value of...
I want the solution for this. Stat 352 Homework Set 2 Fall 2019: Conditional Probability and...
I want the solution for this.
Stat 352 Homework Set 2 Fall 2019: Conditional Probability and Independence Deadline: Monday November 11, 2019 (1) In throwing two dice with the sample space Define the following events on : = {(x,y):x, y = 1,2,3,4,5,6). A = {sum less than 4) = {(x, y): x + y < 4, x, y = 1,2,3,4,5,6) B = {first number is 1) = {(x,y): x = 1, y = 1,2,3,4,5,6) C = {sum of number is...
Please Use your keyboard (Don't use handwriting) Stat (3) One-half percent of the population has CORONA...
Please Use your keyboard (Don't use handwriting) Stat (3) One-half percent of the population has CORONA Virus. There is a test to detect CORONA. A positive test result is supposed to mean that you have CORONA but the test is not perfect. For people with CORONA, the test misses the diagnosis 2% of the times. And for the people without CORONA, the test incorrectly tells 3% of them that they have CORONA. (i) What is the probability that a person...
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?
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...
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,...
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 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...
1. If the probability that C fails is 0.1 and the
probability that D fails is 0.12, find the probability that the
system functions. Round the answer to four decimal places.
2. If both C and D have probability p of failing, what
must the value of p be so that the probability that the
system functions is 0.98?
3. If three components are connected in parallel, function
independently, and each has probability p of failing, what
must the value of...
I want the solution for this.
Stat 352 Homework Set 2 Fall 2019: Conditional Probability and Independence Deadline: Monday November 11, 2019 (1) In throwing two dice with the sample space Define the following events on : = {(x,y):x, y = 1,2,3,4,5,6). A = {sum less than 4) = {(x, y): x + y < 4, x, y = 1,2,3,4,5,6) B = {first number is 1) = {(x,y): x = 1, y = 1,2,3,4,5,6) C = {sum of number is...
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