given the following joint probability table
A1 A2
B1 .02 .01
B2 .05 .02
Calculate the conditional probability P(A1IB1) round your answer
given the following joint probability table A1 A2 B1 .02 .01 B2 .05 .02 Calculate the...
(a) Let P(B1∩B2)>0, and A1∪A2⊂B1∩B2. Then show that P(A1|B1).P(A2|B2)=P(A1|B2).P(A2|B1). (b) Let A and B1 be independent; similarly, let A and B2 be independent. Show that in this case, A and B1∪B2 are independent if and only if A and B1∩B2 are independent. (c) Given P(A) = 0.42,P(B) = 0.25, and P(A∩B) = 0.17, find (i)P(A∪B) ; (ii)P(A∩Bc) ; (iii)P(Ac∩Bc) ; (iv)P(Ac|Bc).
The joint probabilities shown in a table with two rows, A1and A2 and two columns, B1and B2, are as follows: P(A1 and B1) = .10, P(A1 and B2) = .30, P(A2 and B1) = .05, and P(A2 and B2) = .55. Then P(A1|B2), calculated up to two decimals, is:
Given these probabilities, complete the contingency table, and compute the following probabilities: a) P(A2 and B1) b) P(A1 | B1) c) P(B2 | A2) d) P(B2 or A1) A1 A2 Total B1 0.56 B2 Total 0.46
Consider the following joint probability table. B1 B2 B3 B4 A 0.09 0.15 0.21 0.15 Ac 0.09 0.10 0.09 0.12 a. What is the probability that A occurs? (Round your answer to 2 decimal places.) b. What is the probability that B2 occurs? (Round your answer to 2 decimal places.) c. What is the probability that Ac and B4 occur? (Round your answer to 2 decimal places.) d. What is the probability that A or B3 occurs? (Round your answer...
Q7 Consider the following joint probability table. B1 B2 B3 B4 A 0.09 0.11 0.19 0.12 0.10 0.13 0.14 0.12 &Click here for the Excel Data File a. What is the probability that A occurs? (Round your answer to 2 decimal places.) Probability b. What is the probability that B2 occurs? (Round your answer to 2 decimal places.) Probability c. What is the probability that a and B4 occur? (Round your answer to 2 decimal places.) Probability
Let a sample space be partitioned into three mutually exclusive and exhaustive events, B1, B2, and, B3. Complete the following probability table. (Round your answers to 2 decimal places.) Prior Probabilities Conditional Probabilities Joint Probabilities Posterior Probabilities P(B1) = 0.11 P(A | B1) = 0.45 P(A ∩ B1) = P(B1 | A) = P(B2) = P(A | B2) = 0.62 P(A ∩ B2) = P(B2 |A) = P(B3) = 0.38 P(A | B3) = 0.85 P(A ∩ B3) = P(B3...
Let a sample space be partitioned into three mutually exclusive and exhaustive events, B1, B2, and, B3. Complete the following probability table. (Round your answers to 2 decimal places.) Prior Probabilities Conditional Probabilities Joint Probabilities Posterior Probabilities P(B1) = 0.15 P(A | B1) = 0.40 P(A ∩ B1) = P(B1 | A) = P(B2) = P(A | B2) = 0.65 P(A ∩ B2) = P(B2 |A) = P(B3) = 0.32 P(A | B3) = 0.75 P(A ∩ B3) = P(B3...
What is the p.m.f. (Probability Mass Function) for A1, where A1 equals B1 minus B2 and we are given that Bi ∼ Ber(p).
You are given vs = A1:72.cos (100t + B1) Vc = A2 · cos (100t + B2) Find vr = Az · cos (100t + B3) with – 180° 5 B3 S 180° + VR . Solve without using a calculator. Given Variables: A1:2V B1:25 degrees A2:2V B2:-20 degrees Determine the following: A3 (V): B3 (degrees):
Urgent!! Please label all the answers and find a1,a2,a3 and b1,b2,b3. (1 point) The second order equation x2y" - (x – ķ) y = 0 has a regular singular point at x = 0, and therefore has a series solutio y(x) = Σ CnN+r n=0 The recurrence relation for the coefficients can be written in the form Cn =( DCn-1, n = 1,2, ..., (The answer is a function of n and r.) The general solution can be written in...