Determine if the following are true or false. You do not need to explain. A random variable is continuous. For any value a, P(X = a) 0 always. a) b) is 0. A standard normal curve means that the mean is 1 and standard deviation For the following probability density function, P(X < 2) =

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Question 32 (-pAq) v (pA-q) is a tautology True B) False

All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/  B is a salesperson and C is a programmer 4/ B and C are both salesperson

how to prove that contrapositive of the contrapositive is the original statement?

We represent “false” by the value 0 and “true” by the value 1.

SOLVE STEP BY STEP IN DIGITAL FORMAT Find their truth values of the following propositions, using the laws of propositional algebra V:true F:False G. [t (t^q)] → (qt) a) q b) t c) -t H. (p →q) ^ [(p^q) (p ^q) (p^q)]^(p-q) a) q^p b) -q ^p c) q^p V 1. {{p [s^ (ps)]} ^ (ps)} ^ [p^ (s'r)] a) p ^ (sr) b) p (s^r) c) p ^ (s^r) V J. {q [p(q^p)]}^ [(qr) (p ' q)] a) (q'r) ^p b) (q^r) ^p c) (q^r) p

What is the inverse of the proposition: “If 2 is an even number, then 2 is rational.” ?

Describe the difference between being confident that a conjecture is true, and being certain that it's true.

I need help and know the full solution of all these questions