8. Suppose Pr(E | H) > Pr(E). When is Pr(H | E) > 1/2 then? Assume all conditional probabilities are well-defined. a. Always b. Just sometimes: when Pr(E)<1/2. c. Just sometinmes: when Pr(H) > 1/2. d. Never

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Q: 4. The probabilities for event A and B are P(A) = 0.4 and P(B) = 0.33. Find P(A U B) if a) A and B…

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Q: what is Jensen’s inequality in regard to expectation/utility

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Q: 16. Find the following probabilities c. If X- N(25,25), find P(19< X < 24)

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Q: Recall the multiplication rule for conditional probabilities given events A and B. P(ANB) = P(A)P(B…

A: According to the given information, we have P(A1)=0.80P(B|A1)=0.25P(A2)=0.20P(B|A2)=0.10

Q: a. P(A’)   d. P(A’∩B’) b. P(A∪B)     e. P[(A∪B)’] c. P(A’∩B)      f. P(A’∪B)

A: Here use venn diagram to answer the question

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Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0

A: It is given that P(A) = 0.3 and P(B) =0.6.

Q: L3. Let X₁,..., X10 P(E(X₁) > > 0.5). N(0, 1). Determine the probabilities P(X₁ > 0.5), P(X > 0.5)…

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A: The missing probability in the given distribution table is,

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Q: Find the probability of selecting 9 or more girls. 00.122 00.435 00.212 O 0.001

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Q: Part (a) Construct a tree diagram of the situation.   Part (b) P(C) =   Part (c) P(F | C) =

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A: Introduction: The normal probability is a type of continuous probability distribution that can take…

Q: Η 0.1 0.4 11 0.25 C

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Q: 117.If A and B are independent events such that P(B) = P(AUB) = 0.8 then P(A) is

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Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

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