Author: Anonymous

Which of the following first-order logic sentences is NOT equivalent to this one, “There exists either a CS student or a MATH student who knows both linear algebra and Python.”

There are 2 consistent heuristics, H1 and H2, in an A* search seeking to minimize path costs in agraph. Assume ties don’t occur in the priority queue. If H1(s) ≤ H2(s) for all s, then 

A and B are propositions. Given the equality P(A|B) = x and the following statements are true?

P(¬toothache∣cavity)=0.34P(\neg toothache \mid cavity) = 0.34P(¬toothache∣cavity)=0.34

A Bayesian Network consists of three Boolean variables: RainRain (R): It is raining SprinklerSprinkler(S): The sprinkler is on WetGrassWetGrass (W): The grass is wet The following probabilities are given: P(S)=0.4 P(R)=0.3 P(W∣R,S)=0.99 P(W∣R,¬S)=0.8 P(W∣¬R,S)=0.9 P(W∣¬R,¬S)=0.0 Given that the grass is wet, what is the probability that it is raining? [Show your work]  

The variables Toothache and Catch are conditionally independent given Cavity = true.

“Boys and girls are welcome to apply.” is equivalent to? ∀x [(Boy(x) ^ Girl( x)) => Apply(x)]?

Convert the following propositional logic formulas into Conjunctive Normal Form (CNF): ¬(P ∧ Q) → (R ∨ ¬S) (P→Q)∨(R∧¬S)

Write the corresponding First Order Logic for : “Every dog likes some toys”

NM is a 23-year-old white female with a history of exercise-induced asthma (EIA). She runs 7 days a week, on a year-round basis. The EIA affects her only during her runs. Which medication(s) take into account the new single Maintenance and Reliever Therapy (SMART) that NM should use for her EIA?