9) Determine the reliability of the following system: E2 E1 E3 E7 E4 Component Case a) Reliability (Probability) Case b) E5 E6 E1 E2 E3 E4 E5 E6 E7 0.9 | 0.85 | 0.82 | 0.78 | 0.91 | 0.68 | 0.96 -- S| S | S | - | S | F |-- [S] indicates a Spare is available (same values as part a) [F] indicates Failed part [--] non-replaceable parts
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- 3 Using Receiving Operating Characteristic (ROC) evaluate a binary classifier and various probability thresholds. Note: Use JupyterNotebook.Show validity by natural deduction: ∀x[p(x) → q(x)] → [(∃xp(x) ∧ ∃xr(x)) → ∃xq(x)]Correct answer will be upvoted else downvoted. Computer science. In the event that right now Pekora hops on trampoline I, the trampoline will dispatch her to situate i+Si, and Si will become equivalent to max(Si−1,1). At the end of the day, Si will diminish by 1, besides of the case Si=1, when Si will stay equivalent to 1. On the off chance that there is no trampoline in position i+Si, this ignore is. Any other way, Pekora will proceed with the pass by hopping from the trampoline at position i+Si by a similar principle as above. Pekora can't quit hopping during the pass until she arrives at the position bigger than n (in which there is no trampoline). Poor Pekora! Pekora is an underhanded hare and needs to demolish the jumping place by diminishing all Si to 1. What is the base number of passes she really wants to diminish all Si to 1? Input The main line contains a solitary integer t (1≤t≤500) — the number of experiments. The principal line of each experiment…
- Let's say that Alice and Bob are exchanging keys using Diffie-Hellman key exchange using multiplicative group Z*401 and generator g=17. Let's say that Alice chooses secret exponent x=231 and receives the number 99 from Bob. What number should Alice send to Bob?____ What number do Alice and Bob compute as their shared secret?_____Show that ∃x (P (x) ∧ Q(x)) is not logically equivalent to (∃x P (x)) ∧ (∃x Q(x)).Let's say that Alice and Bob are exchanging keys using Diffie-Hellman key exchange using multiplicative group Z*499 and generator g=7. Let's say that Alice chooses secret exponent x=5 and receives the number 123 from Bob. What number should Alice send to Bob?_______ What number do Alice and Bob compute as their shared secret?________ Express each of your answers as an integer.
- (Do it on R)(using Pnorm) The loaves of rye bread distributed to local stores by a certain bakery have an average length of 30 centimeters and a standard deviation of 2 centimeters. Assuming that the lengths are normally distributed, what percentage of the loaves are (a) longer than 31.7 centimeters? (b) between 29.3 and 33.5 centimeters in length? (c) shorter than 25.5 centimeters?it is known that a natural. law obeys the quadratic relationship y=ax^2.what is the best line of form y=px+q that can be used to model data and minimise Mean-squared-error, if all of the data points are drawn uniformly at random from the domain [0,1]?2) (L2) Prove using laws of logic that the conditional proposition (p ∧ q) → r is equivalent to (p ∧ ¬ r) →¬ q. 3) (L3) Show that the converse of a conditional proposition p: q → r is equivalent to the inverse of proposition p using a truth table. 4.1) (L4) Show whether ((p ∧ (p→q)) ↔ ¬p) is a tautology or not. Use a truth table and be specific about which row(s)/column(s) of the truth table justify your answer. 4.2) (L4) Give truth values for the propositional variables that cause the two expressions to have different truth values. For example, given p ∨ q and p ⊕ q, the correct answer would be p = q = T, because when p and q are both true, p ∨ q is true but p ⊕ q is false. Note that there may be more than one correct answer. r ∧ (p ∨ q) (r ∧ p) ∨ q
- Correct answer will be upvoted else downvoted. Computer science. Polycarp trusts that assuming he eliminates applications with numbers i1,i2,… ,ik, he will free ai1+ai2+… +aik units of memory and lose bi1+bi2+… +bik accommodation focuses. For instance, on the off chance that n=5, m=7, a=[5,3,2,1,4], b=[2,1,1,2,1], Polycarp can uninstall the accompanying application sets (not all choices are recorded beneath): applications with numbers 1,4 and 5. For this situation, it will free a1+a4+a5=10 units of memory and lose b1+b4+b5=5 accommodation focuses; applications with numbers 1 and 3. For this situation, it will free a1+a3=7 units of memory and lose b1+b3=3 accommodation focuses. applications with numbers 2 and 5. For this situation, it will free a2+a5=7 memory units and lose b2+b5=2 accommodation focuses. Help Polycarp, pick a bunch of uses, with the end goal that if eliminating them will free basically m units of memory and lose the base number of accommodation…(c.) Assume that the probability of rain tomorrow is 0.5 if it is raining today, and assume that the probability of its being clear (no rain) tomorrow is 0.9 if it is clear today. Also assume that these probabilities do not change if information is also provided about the weather before today.(i) Explain why the stated assumptions imply that the Markovian property holds for the evolution of the weather.(ii) Formulate the evolution of the weather as a Markov chain by defining its states and giving its (one-step) transition matrixANY help would be greatly appreciated. From 1965 to 1974, in U.S. there were M= 17,857,857 male livebirths and F= 16,974,194 female livebirths. We model the number of male livebirth as a binomial distribution withparameterssize = M+F and prob = p. The following code computes the maximum likelihood estimator for p. male = 17857857 female = 16974194 ll <-function(p){dbinom(male, size = male+female, prob=p, log=TRUE) } ps <-seq(0.01, 0.99, by = 0.001) ll.ps <-ll(ps) plot(ps, ll.ps, type='l') phat <- ps[which.max(ll.ps)] abline(v = phat, col='blue') QUESTION: For this problem, can you give a theoretical formula for the maximum likelihood estimator,ˆp, usingMandF? (No need to compute the numerical value.)