please, I need clear writing if you choose to do it by hand.
thanks,
Homework Answers
(a)
W1 & W2 are in parallel with each p = 0.9
Reliability of W1 W2 = 1 - (1 - 0.9)2 = 0.99
W3 & W4 are in parallel with each p = 0.9
Reliability of W3 W4 = 1 - (1 - 0.9)2 = 0.99
W1W2 and W3W4 are in series.
So,
Overall probability the device functions correctly = 0.99 X 0.99 = 0.9801
(b)
Case 1:
W1 = 0.99, W2 =0.99, W3 =0.9, W4 = 0.9
Reliability of W1 W2 = 1 - (1 - 0.99)2 = 0.9999
Reliability of W3 W4 = 1 - (1 - 0.9)2 = 0.99
So,
Overall probability the device functions correctly = 0.9999 X 0.99 = 0.9899
Case 2:
W1 = 0.9, W2 =0.9, W3 =0.99, W4 = 0.99
Reliability of W1 W2 = 1 - (1 - 0.9)2 = 0.99
Reliability of W3 W4 = 1 - (1 - 0.99)2 = 0.9999
So,
Overall probability the device functions correctly = 0.99 X 0.9999 = 0.9899
Case 3:
W1 = 0.99, W2 =0.9, W3 =0.99, W4 = 0.9
Reliability of W1 W2 = 1 - (1 - 0.99)(1-0.9) = 0.999
Reliability of W3 W4 = 1 - (1 - 0.99) (1-0.9)= 0.999
So,
Overall probability the device functions correctly = 0.999 X 0.999= 0.9980
Case 4:
W1 = 0.9, W2 =0.99, W3 =0.9, W4 = 0.99
Reliability of W1 W2 = 1 - (1 - 0.9)(1-0.99) = 0.999
Reliability of W3 W4 = 1 - (1 - 0.9) (1-0.99)= 0.999
So,
Overall probability the device functions correctly = 0.999 X 0.999= 0.9980
We note from the above:
Cases 3 & 4 each give overall reliability = 0.9980 > 0.9899 for Cases 1 & 2.
So,
we should replace parts 1 & 3 each with p = 0.99 in order to maximize device reliability
OR
we should replace parts 2 & 4 each with p = 0.99 in order to maximize device reliability
Add Answer to:
please, I need clear writing if you choose to do it by hand.
thanks,
2. A...
2. A device consists of two redundant subunits; only one needs to be working for the...
2. A device consists of two redundant subunits; only one needs to be working for the device to function. The first subunit has two parts Wi and W2, and the second has two parts Ws and W4. In each subunit, both parts must function for the subunit to work. The four parts are independent, identical and equally reliable, with probability p 0.9 of functioning. (a) What is the overall probability the device functions correctly? (b) Suppose you have available two...
A device consists of two redundant subunits; only one needs to be working for the device...
A device consists of two redundant subunits; only one needs to be working for the device to function. The first subunit has two parts Wi and W2, and the second has two parts Ws and Ws. In identical and equally reliable, with probability p-09of fuctoning. (a) What is the overall probability the device functions correctly? (b) Suppose you have available two ultra-reliable parts, each with p 0.99 of working. 2. Which two parts in the device should you replace with...
please, I need clear writing if you choose to do it by hand. Thanks, 4. Generalize...
please, I need clear writing if you choose to do it by hand.
Thanks,
4. Generalize the Bayesian analysis of medical screening given in class. Let a rare disease D occur with probability P(D)-δ, with δ small. The test for this disease is accurate such that the W1 probability of a correct result is 1-e, with ε small. Derive formulas for the probabilities of a true positive P(D +) and a false positive, P(p+). For this screening to be useful...
Please, I need clear writing if you choose to write by hand for a,b,c, and d....
Please, I need clear writing if you choose to write by hand for
a,b,c, and d.
thanks,
5. In each step, explain clearly what property or axiom you are using. (a) Prove "inclusion-exclusion," that PAU B)-P(A)+P(B)-Pan B) (b) Prove the "union bound" that P(Ai UA2) P(Ai) P(A2). Under what conditions does the equality hold? (c) Prove that, for A and A2 disjoint, P(A UA2 B) P(A B)P(A2 B) (d) A and B are independent events with nonzero probability. Prove whether...
please, need clear writing if you choose to write by hand. thanks 2. Let A and...
please, need clear writing if you choose to write by hand.
thanks
2. Let A and B be events. Find an expression for the event "exactly one of the events A and B" occurs; simplify your result as far as you can. Draw a Venn diagram for this event.
Please I need a very Clean Hand Writing, if you don't want to write clearly leave...
Please I need a very Clean Hand Writing, if you don't
want to write clearly leave it for someone else
Please I need a very Clean Hand Writing, if you don't
want to write clearly leave it for someone else
Please I need a very Clean Hand Writing, if you don't
want to write clearly leave it for someone else
1.18 The graph in Figure 1.6 is the same as Figure 1.4 except that the links have different probabilities of...
Please give solutions with detailed explanations. I appreciate neat hand writing. Thanks a lot. 3. (a)...
Please give solutions with detailed explanations. I appreciate
neat hand writing. Thanks a lot.
3. (a) Show that [e-21/a (1 + 2r/a + 2r2/a?)] = -4r²e-20/a. (b) Use this result to show that the ground state wavefunction of the hydrogen atom is properly normalized: S• P(r) dr = 1. In astronomy, analysis of the photons emitted from very hot plasmas (such as are ob- served at the surface of stars, or during supernova explosions) commonly reveals spec- tral lines from...
PLEASE MAKE YOUR HAND WRITING CLEAR AND READABLE . THANK YOU! O Let X and Y be independent random variables with a discrete uniform distribution, i.e., with probability mass functions for k = 1, px(k...
PLEASE MAKE YOUR HAND WRITING CLEAR AND READABLE . THANK
YOU!
O Let X and Y be independent random variables with a discrete uniform distribution, i.e., with probability mass functions for k = 1, px(k) = py (k) =-, N. Use the addition rule for discrete random variables on page 152 to determine the probability mass function of Z -X+Y for the following two cases. a. Suppose N = 6, so that X and Y represent two throws with a...
Please show how did you came up with the answer, show formulas and work. Also, please do Parts e to i. Thank you so much 1. Consider the following probability mass function for the discrete joint pro...
Please show how did you came up with the answer, show formulas
and work. Also, please do Parts e to i. Thank you so much
1. Consider the following probability mass function for the discrete joint probability distribution for random variables X and Y where the possible values for X are 0, 1, 2, and 3; and the possible values for Y are 0, 1, 2, 3, and 4. p(x,y) <0 3 0 4 0.01 0 0 0.10 0.05 0.15...
Practice questions for BIO 340 (Exam 2) I need help with these questions Please. WILL GIVE...
Practice questions for BIO 340 (Exam 2) I need help with these
questions Please. WILL GIVE GOOD RATING
1. Wild type blue-eyed mary has blue flowers. Two genes control the pathway that makes the blue pigment: The product of gene W turns a white precursor into magenta pigment. The product of gene M turns the magenta pigment into blue pigment. Each gene has a recessive loss-of-function allele: w and m, respectively. A double heterozygote (Ww Mm) is self-pollinated. What proportion...
2. A device consists of two redundant subunits; only one needs to be working for the device to function. The first subunit has two parts Wi and W2, and the second has two parts Ws and W4. In each subunit, both parts must function for the subunit to work. The four parts are independent, identical and equally reliable, with probability p 0.9 of functioning. (a) What is the overall probability the device functions correctly? (b) Suppose you have available two...
A device consists of two redundant subunits; only one needs to be working for the device to function. The first subunit has two parts Wi and W2, and the second has two parts Ws and Ws. In identical and equally reliable, with probability p-09of fuctoning. (a) What is the overall probability the device functions correctly? (b) Suppose you have available two ultra-reliable parts, each with p 0.99 of working. 2. Which two parts in the device should you replace with...
please, I need clear writing if you choose to do it by hand.
Thanks,
4. Generalize the Bayesian analysis of medical screening given in class. Let a rare disease D occur with probability P(D)-δ, with δ small. The test for this disease is accurate such that the W1 probability of a correct result is 1-e, with ε small. Derive formulas for the probabilities of a true positive P(D +) and a false positive, P(p+). For this screening to be useful...
Please, I need clear writing if you choose to write by hand for
a,b,c, and d.
thanks,
5. In each step, explain clearly what property or axiom you are using. (a) Prove "inclusion-exclusion," that PAU B)-P(A)+P(B)-Pan B) (b) Prove the "union bound" that P(Ai UA2) P(Ai) P(A2). Under what conditions does the equality hold? (c) Prove that, for A and A2 disjoint, P(A UA2 B) P(A B)P(A2 B) (d) A and B are independent events with nonzero probability. Prove whether...
please, need clear writing if you choose to write by hand.
thanks
2. Let A and B be events. Find an expression for the event "exactly one of the events A and B" occurs; simplify your result as far as you can. Draw a Venn diagram for this event.
Please I need a very Clean Hand Writing, if you don't
want to write clearly leave it for someone else
Please I need a very Clean Hand Writing, if you don't
want to write clearly leave it for someone else
Please I need a very Clean Hand Writing, if you don't
want to write clearly leave it for someone else
1.18 The graph in Figure 1.6 is the same as Figure 1.4 except that the links have different probabilities of...
Please give solutions with detailed explanations. I appreciate
neat hand writing. Thanks a lot.
3. (a) Show that [e-21/a (1 + 2r/a + 2r2/a?)] = -4r²e-20/a. (b) Use this result to show that the ground state wavefunction of the hydrogen atom is properly normalized: S• P(r) dr = 1. In astronomy, analysis of the photons emitted from very hot plasmas (such as are ob- served at the surface of stars, or during supernova explosions) commonly reveals spec- tral lines from...
PLEASE MAKE YOUR HAND WRITING CLEAR AND READABLE . THANK
YOU!
O Let X and Y be independent random variables with a discrete uniform distribution, i.e., with probability mass functions for k = 1, px(k) = py (k) =-, N. Use the addition rule for discrete random variables on page 152 to determine the probability mass function of Z -X+Y for the following two cases. a. Suppose N = 6, so that X and Y represent two throws with a...
Please show how did you came up with the answer, show formulas
and work. Also, please do Parts e to i. Thank you so much
1. Consider the following probability mass function for the discrete joint probability distribution for random variables X and Y where the possible values for X are 0, 1, 2, and 3; and the possible values for Y are 0, 1, 2, 3, and 4. p(x,y) <0 3 0 4 0.01 0 0 0.10 0.05 0.15...
Practice questions for BIO 340 (Exam 2) I need help with these
questions Please. WILL GIVE GOOD RATING
1. Wild type blue-eyed mary has blue flowers. Two genes control the pathway that makes the blue pigment: The product of gene W turns a white precursor into magenta pigment. The product of gene M turns the magenta pigment into blue pigment. Each gene has a recessive loss-of-function allele: w and m, respectively. A double heterozygote (Ww Mm) is self-pollinated. What proportion...
Most questions answered within 3 hours.
-
The University of
Texas recently reported that 43% of college students aged 18-24
would spend their...
asked 56 minutes ago -
The length of stay at a specific emergency department in
Phoenix, Arizona, in 2009 had a...
asked 12 minutes ago -
. Please give the mechanism for this type of problem. Step by
Step
The toxin that...
asked 15 minutes ago -
If you have a 1M stock solution and you want to dilute 1 :10
with water,...
asked 17 minutes ago -
In a load instruction, the effective address is obtained by
A) Retriving the address from a...
asked 17 minutes ago -
Use the following information to answer this question.
Windswept, Inc. 2017 Income Statement ($ in millions)...
asked 18 minutes ago -
A mutual fund salesperson has arranged to call on four people
tomorrow. Based on past experience...
asked 51 minutes ago -
Let the RV Y has the pdf
f ( y ) = 6 y ( 1...
asked 1 hour ago -
Question 12
Where should a copy of a private key should be placed so it is...
asked 20 minutes ago -
What is the entropy change to the surroundings when 1 mol of ice
melts in someone's...
asked 40 minutes ago -
Pt1
An electrochemical cell is set up at 25°C based on the overall
reaction represented by...
asked 46 minutes ago -
Explain traveling wave theory. Explain how the peaking of the
wave leads to action potentials and...
asked 37 minutes ago