Question

Prove that the Friedman's test becomes Cochran's Q when the data is binary.

Answer #1

prove that a binary American put will always be valued more than
a binary European put

Prove that Pr[A] ≤ min(1, q/p) when Pr[B|A] ≥ p > 0 and Pr[B]
≤ q

Consider a binary word of length 70. Prove that there are at
least two occurrences of a sequence of 6 bits.

The following are attempts to define a binary operation on a
set, are they actually binary operations
on the given set? If yes, prove it and if not please provide an
explanation.
1) a*b = a-b on S, S is the set Z of integers.
2) a*b = a log b on S, S is the set R+ of positive real
numbers
3) a*b = |a+b| on S, S is the set of Real numbers.
what I want to know...

Prove equivalent:
P⊃ (Q ⊃ P) and (~Q ⊃ (P ⊃ (~Q V
P)))

Recall that Q+ denotes the set of positive rational numbers.
Prove that Q+ x Q+ (Q+ cross Q+) is countably infinite.

1. Prove p∧q=q∧p
2. Prove[((∀x)P(x))∧((∀x)Q(x))]→[(∀x)(P(x)∧Q(x))]. Remember to
be strict in your treatment of quantifiers
.3. Prove R∪(S∩T) = (R∪S)∩(R∪T).
4.Consider the relation R={(x,y)∈R×R||x−y|≤1} on Z. Show that
this relation is reflexive and symmetric but not transitive.

Prove that a full non-empty binary tree must have an odd number
of nodes via induction

Prove: ~p v q |- p -> q by natural deduction

2. Is the binary connective “because” (as in: p because q) a
truth functional connective?
Why or why not?

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