2. Let A and B be events. Find an expression for the event"exactly one of the...
please, need clear writing if you choose to write by hand. thanks 2. Let A and B be events. Find an expression for the event "exactly one of the events A and B" occurs; simplify your result as far as you can. Draw a Venn diagram for this event.
Let A, B and C be three events defined on a sample space S (for the purposes of illustration assume they are not disjoint as shown on the Venn diagram below). Find expressions and draw the Venn diagram for the event, so that amongst A, B and C: a. only A occurs b. both A and B occur, but not C c. all three events occur d. none of the events occurs e. exactly one of the events occurs f....
1. Suppose that A, B, and C are events such that P[A]- PB0.3, PC 0.55, PIANB]- 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 regions in the diagram before starting...
1. Suppose that A. B. and C are events such that PA-PlB) = 0.3. PC] = 0.55, PAT 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 regions in...
1. Suppose that A, B, and C are events such that PIAPB0.3, PC 0.55, PIANB- 0, PAnBn 0.1, and P[An 0.2. 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. Hin: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint regions...
2. Given events A and B (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A wil not occur. Express D in terms of A and B (b) let E be the event that exactly one of the events A or B will occur. Express E in terms (c) Use the result in (a) to find...
Given events A and B, (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A will not occur. Express D in terms of A and B. (b) let E be the event that exactly one of the events A or B will occur. Express E in terms of A and B. (c) Use the result in...
(Must draw out the Venn Diagram and show all work for full credit.) Suppose that A, B, and C are events such that PA-PB0.3, PC 0.55, PIAnB 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...
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...
1. A coustruction firm is working ou two different projects. Let A be the event that the first one is completed by the contract date and defined B atualogously for the second project. (a) Explain the events AUB and An B in words (b) II P(AUB)-0.9 and P(AnB) -0.5, what is the probability that exactly one (Le. not both) is completed by the contract date? Hint: Draw a Venn diagram.)