Suppose that P(A|B)=0.1, P(A|B')=0.3, and P(B)=0.9. What is the P(A)? Round your answer to two decimal places (e.g. 98.76). Mi

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A: For x1 variable μ1 = 1 and σ1 = 0.1' For x2 variable μ2 = 0.8 and σ2 = 0.12 ρ = −0.8.   0.1

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A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

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Q: If A and B are independent, prove that B and the complement of A are independent.

A: Given,A and B are independent events , so P(A∩B)=P(A)×P(B) .

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Q: Show that for any &> 0 and Sn = 1X₁, lim P(|S₁ − 0| ≥ ɛ) = 0. n-00

A: We will use Chebychev's inequality to find the limit of given probability.

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Q: 1. Use the Binomial Theorem to expand and simplify the expression (2x³ - 3/x)4.

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Q: e n Show that for any &> 0 and S, ₁X₁, lim P(S₁-0 ≥ 8) = 0. =

A: We will use Chebychev's inequality to find the required limit of probability.

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Q: - 2. A, B, and C are events with P (A) and C are independent, and P(BIC) 0.3, P(B) = 0.4, and P(C) =…

A: Note: Hi! Thank you for the question. As you have posted multiple independent questions, as per our…

Q: 7. Suppose it is claimed that amongst the population of human adults, the number of hours spent…

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Q: a card game. In a deck, there are 52 cards (no jokers); 13 for each suit 0, 0, 2, 3). What is the…

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Q: For the remainder of this question, we will consider one of the world's most popular video games,…

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