Given the following: A, B, and C are events. P[A] = 0.3 P[B] = 0.3 P[C]...
Given the following:
A, B, and C are events.
P[A] = 0.3
P[B] = 0.3
P[C] = 0.55
P[A intersect B] = 0
P[A' intersect B' intersect C'] = 0.1
P[A intersect C'] = 0.2
(i) Write a set expression for each of the following events a
through d.
(ii) Find the probability of the event.
(Please show all work. Use venn diagrams if necessary).
(a) At least one of the events A, B, or C occurs.
(b) Exactly one of A, B, or C occurs.
(c) At most one of A, B, or C occurs.
(d) C occurs, but neither A nor B occurs.
Homework Answers
Add Answer to:
Given the following:
A, B, and C are events.
P[A] = 0.3
P[B] = 0.3
P[C]...
1. Suppose that A. B. and C are events such that PA-PlB) = 0.3. PC] =...
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,...
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...
1. Suppose that A, B, and C are events such that P[A]- PB0.3, PC 0.55, PIANB]-...
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...
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3,...
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...
(Must draw out the Venn Diagram and show all work for full credit.) Suppose that A,...
(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...
ECE 314-Probability and Random Processes, Spring 2019 Homework #1 Due: 02/01/19, at the start of lecture...
ECE 314-Probability and Random Processes, Spring 2019 Homework #1 Due: 02/01/19, at the start of lecture (9:05 am) 1. Suppose that A, B, and C are events such that PlAI-PlB) 03. PC-055, PA n B- 0, PA nBnc]-0.1, and PIAnC]-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.) (i) Evaluate the probability of the event....
10. Suppose that A and B are mutually exclusive events for which P(A) 0.4,P(B) 0.3. The...
10. Suppose that A and B are mutually exclusive events for which P(A) 0.4,P(B) 0.3. The probability that neither A nor B occurs equals a) 0.6 b) 0.1 c)0.7 d0.9
You are given the following information about events A, B, and C P(A)0.35, P (B)-0.3, P(C)...
You are given the following information about events A, B, and C P(A)0.35, P (B)-0.3, P(C) 0.51 Events A and B are independent. The probability of at least two of these events occurring is 0.27. The probability of at exactly two of these events occurring is 0.2 Find P(4jc) 0.3698 0.3489 0.3384 0.3279 0.3593 It is known that 2.6% of the population has a certain disease. A new test is developed to screen for the disease. A study has shown...
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and...
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding
Suppose that A and B are mutually exclusive events for which P(A) = 0.2 and P(B)...
Suppose that A and B are mutually exclusive events for which P(A) = 0.2 and P(B) = 0.7. What is the probability that a. either A or B occurs? b. A occurs but B does not? c. both A and B occur? d. neither A nor B occurs?.
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...
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...
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...
(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...
ECE 314-Probability and Random Processes, Spring 2019 Homework #1 Due: 02/01/19, at the start of lecture (9:05 am) 1. Suppose that A, B, and C are events such that PlAI-PlB) 03. PC-055, PA n B- 0, PA nBnc]-0.1, and PIAnC]-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.) (i) Evaluate the probability of the event....
10. Suppose that A and B are mutually exclusive events for which P(A) 0.4,P(B) 0.3. The probability that neither A nor B occurs equals a) 0.6 b) 0.1 c)0.7 d0.9
You are given the following information about events A, B, and C P(A)0.35, P (B)-0.3, P(C) 0.51 Events A and B are independent. The probability of at least two of these events occurring is 0.27. The probability of at exactly two of these events occurring is 0.2 Find P(4jc) 0.3698 0.3489 0.3384 0.3279 0.3593 It is known that 2.6% of the population has a certain disease. A new test is developed to screen for the disease. A study has shown...
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding
Suppose that A and B are mutually exclusive events for which P(A) = 0.2 and P(B) = 0.7. What is the probability that a. either A or B occurs? b. A occurs but B does not? c. both A and B occur? d. neither A nor B occurs?.
Most questions answered within 3 hours.
-
The blues made its way into many kinds of music. Eric Clapton,
The Beatles, and Elvis...
asked 1 hour ago -
8. A wave in a string has a wave function given by: y (x, t) =...
asked 33 minutes ago -
If you’re standing at the bottom of a hill and asked to evaluate
it while being...
asked 2 hours ago -
1. Which region has taken the lead in the world of
e-waste handling?
a) European Union...
asked 2 hours ago -
A 8.15- g bullet from a 9-mm pistol has a velocity of 366.0 m/s.
It strikes...
asked 3 hours ago -
The outstanding bonds of Alpha Extracts have a yield to maturity
of 7.4 percent and a...
asked 3 hours ago -
The Problem: The Case of the Harmonizing Vacations
Your CEO is exploring partnering with a European...
asked 5 hours ago -
A chemical equation is balanced by adding coefficients in front
of some formulas so that the...
asked 5 hours ago -
From the literature (reference your sources): What are the
lattice parameters of calcite and aragonite? Why...
asked 5 hours ago -
Your system is rejecting the question am asking which is
preceded by a case study. It...
asked 5 hours ago -
3. On January 2, 2000, Larry creates a trust with himself as
trustee. Larry as trustee...
asked 5 hours ago -
A member of the volleyball team spikes the ball. During this
process, she changes the velocity...
asked 5 hours ago