Suppose that P(1), P(2),... are statements. Assume that you know only the following: • P(3) is true. • For any k> 1, P(k)=P(k+ 2) is true. Find all n for which you can guarantee that P(n) is true. Justify your answer.

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Q: If P(x) is the statement x ≥ 11, Q (x) is the statement x ≤ -2 and R (x) is the statement (x - 3)(x…

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Q: Suppose that x is N(15,4). Find the P(X>11).

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Q: Suppose P(A) = 0.4 and P(B) and B, show that 0.1 ≤ P(An B) ≤ 0.4. = 0.7. With no other assumptions…

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Q: Let X-x²(18). Given P(7.015 < X <)-029th - then: a) 14.44 b) 10.865 c) 6.265

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A: Given : X~N(30,5)

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Q: The counterexample of A = {1} and B = Ø disproves which of the following statements where P(X)…

A: Given that A=1,B=∅. For (a). PA∩B=P1,∅∩∅=P∅=∅ And, P(A)∩P(B)=P1∩P(∅)=1,∅∩∅=∅ Hence statement of (a)…

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Q: Compute x3 in two ways: by computing x, and x2, and by computing P³ [1] P= x₁ = 0.1 0.2 0.9 0.8 0.19…

A: Solution: The given matrix is, P=0.10.20.90.8,x0=10. Now compute x3 in two ways:

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Q: x2- 11x+24 For all x 8, = ? ? 8-X 8-X 3-x X - 3 X-8 K X - 11

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Q: Find P(P(P(empty set))) , where P(A) denotes the power set of A.

A: Given  A = Empty set  To find : P(P(P(empty set)))

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Q: B Given that p(A| B)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?

A: Ans#- Given, P(A | B) = 0, and P(A) = 0.15.            Are A and B        (a) Independent?…