Is the following argument p& ∼ p,(p ∨ q) ≡ (s ≡ (t ∨ p)) ∴...

Is the following argument p& ∼ p,(p ∨ q) ≡ (s ≡ (t ∨ p)) ∴ r valid? If not provide a counterexample.

Expert Solution

Colby Messinger answered 1 year ago

Suppose S = {p, q, r, s, t, u} and A = {p, q, s, t}...

Suppose S = {p, q, r, s, t, u} and A = {p, q, s, t} and B = {r, s, t, u} are events. x p q r s t u p(x) 0.15 0.25 0.2 0.15 0.1 (a) Determine what must be p(s). (b) Find p(A), p(B) and p(A∩B). (c) Determine whether A and B are independent. Explain. (d) Arer A and B mutually exclusive? Explain. (e) Does this table represent a probability istribution of any random variable? Explain.

1. Show that the argument (a) p → q q → p therefore p...

1. Show that the argument (a) p → q q → p therefore p V q is invalid using the truth table. ( 6 marks ) (b) p → q P therefore p is invalid using the truth table. ( 6 marks ) (c) p → q q → r therefore p → r is invalid using the truth table. ( 8 marks )

[P∧¬P]→Q is a tautology and is a valid argument. A valid argument can be sound or...

[P∧¬P]→Q is a tautology and is a valid argument. A valid argument can be sound or unsound. An invalid argument, however, can not be sound. Would the above argument be sound or sound? Why or why not?

A list of six positive integers, p, q, r, s, t, u satisfies p < q...

A list of six positive integers, p, q, r, s, t, u satisfies p < q < r < s < t < u. There are exactly 15 pairs of numbers that can be formed by choosing two different numbers from this list. The sums of these 15 pairs of numbers are: 25, 30, 38, 41, 49, 52, 54, 63, 68, 76, 79, 90, 95, 103, 117. Which sum equals r + s?

Prove p → (q ∨ r), q → s, r → s ⊢ p → s

Show that Cp = T(∂S/∂T)p and Cv = T(∂S/∂T)V

FOR EAICH PAIR OF PROPOSITIONS P AND Q STATE WHETHER ON NOT p=q p=(s→(p ∧¬r)) ∧...

FOR EAICH PAIR OF PROPOSITIONS P AND Q STATE WHETHER ON NOT p=q p=(s→(p ∧¬r)) ∧ ((p→(r ∨ q)) ∧ s), Q=p ∨ t

A compound gear train with gears P, Q, R, S, T and U has number of...

A compound gear train with gears P, Q, R, S, T and U has number of teeth 10, 20, 02 40, 50, 80 and 100 respectively. Show the arrangement of gears for a speed reduction of 50% and determine the center distance between driving and driven shafts if the diametrical pitch of the gears is 0.5 I only have this question , cant give you more information

Consider the three stocks in the following table. P(t) represents price at time t, and Q...

Consider the three stocks in the following table. P(t) represents price at time t, and Q (t) represents share outstanding at time t. Stock C splits two for one in the last period. P(0) Q(0) P(1) Q(1) P(2) Q(2) A 90 100 95 100 95 100 B 50 200 45 200 45 200 C 100 200 110 200 55 400 First, calculate the price weighted indexes at t=0 and t=1. Based on the two numbers calculate the rate of return....

1. m • (n • p) 2. (q ⊃ ~t) • (~m v q) 3. ~t...

1. m • (n • p) 2. (q ⊃ ~t) • (~m v q) 3. ~t ⊃ z : . z

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