Let A and B be events with these properties: 0 < P(B) < 1 and P(A|B) = P(A|B^c) = 1/3.(a) Is it possible to calculate P(A) from this information? Either declare that it is not possible, or find the value of P(A).

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A:

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Q: (a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A| B) = 7/13. (d) The events A and B are mutually…

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A:

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A:

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A: Bayes theorem:The formula of Bayes theorem for P(A|B) is as follows:

Q: None

A:

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Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.7, what is Pr[A∩B′]?

A: From the provided information,

Q: Let A and B be events such that​ Pr[A] =0.370.37​, Pr[B] =0.630.63​, and​  Pr[A ∩​ B] =0.240.24.…

A: Required to calculate the conditional probability that A occurs given B has occured, P(A|B)

Q: The probability of event A, given that event B has occurred, can be found using Bayes' Theorem. P(A)…

A:

Q: The probability of event A, given that event B has occurred, can be found using Bayes's Theorem.…

A:

Q: Consider the following function for a value of k. f(x) ={3kx/7,  0 ≤ x ≤ 1 3k(5 − x)/7 ,   1 ≤ x ≤…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.