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I want help to solve this question (4) (a) Suppose that P(A) = P(B) = ?...
I want help to solve this question (6) Suppose that PCB An) = – and that P(B A2) = where Aq and A2 are two equiprobable events forming a partition of 12. Calculate P(AB).
I want help to solve this question 10) Prove the following a+b-1 b (a) Let P(A) = a and P(B) = b then P(A|B) 2 a+b=1 (b) If A1, A2, -. , An is a sequence of independent events, then ) = 1 - [1 - P(A1)]. [1 – P(A2)]... [1 - P(An)] n i=1
I want help to solve this question (3) A fair die is rolled twice, independently. (a) Consider the events: A = "the first number that show up is a 6"| B = "the sum of the two numbers obtained is equal to 7" C=" the sum of the two numbers obtained is equal to 7 or 11“ (i) Calculate P(BIC) (ii) Calculate P(A|B) (iii) Are A and B independent events? (b) Considering rolling two dice. Knowing that an even number...
2. Let A and B be events in a sample space such that P(A) -0.5. P(ANB) -0.3 and PLAUB)=0.8. Calculate: 1) P(AB): ii) P(BA): iii) PIBIA B): be independent of A and such that B and Care Let the event C in mutually exclusive. Calculate: iv) P(AC); v) PIANBNC). (8 Marks)
I want the solution for this. Stat 352 Homework Set 2 Fall 2019: Conditional Probability and Independence Deadline: Monday November 11, 2019 (1) In throwing two dice with the sample space Define the following events on : = {(x,y):x, y = 1,2,3,4,5,6). A = {sum less than 4) = {(x, y): x + y < 4, x, y = 1,2,3,4,5,6) B = {first number is 1) = {(x,y): x = 1, y = 1,2,3,4,5,6) C = {sum of number is...
I want help to solve this question I want help to solve this question (9) A device is composed of two components, A and B, subject to random failures. The components are connected in parallel and, consequently, the device is down only if both components are down. The two components are not independent. We estimate that the probability of a failure of component A is equal to 0.2; a failure of component B is equal to 0.8 if component A...
Question 9 Suppose events A and B are disjoint, and P(A) = 0.56 and P(B) = 0.15. P(ANB) = Previous No new data to save. Last checked at 6:55pm
2. a) Let A and B be two events such that P(A) 4, P(B) .5 and P(AnB) 3 Find P(AUB). b) Let A and B be two events such that P(A)-5, P(B) 3 and P(AUB) .6. Find P(An B)
I want help to solve this question Stat 352 Homework Set 2 Fall 2019: Conditional Probability and Independence Deadline: Monday November 11, 2019 (1) In throwing two dice with the sample space Define the following events on : 1,2,3,4, 5,6}. {(x, y): x, y = A={sum less than 4) {(x, y): x + y < 4, x,y = 1,2,3,4,5,6} first number is 1) = {(x, y): x = 1, C = {sum of number is 5} = {(x, y): x...
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3, P[C] = 0.55, P[An B] = For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. (Hint: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint...