I throw a die with 6 sides. Consider the events, A=uneven and B=prime number. Find the...
I throw a die with 6 sides. Consider the events, A=uneven and B=prime number. Find the results of the following in the form of a reduced fraction:
a) P(A U B)
b) P(A n B)
c) P(A | B)
d) P(B | A)
answer for a) is 2/3 but for some reason the answers I got for b, c, and d are incorrect. I got b) 1/3, c) 2/3, and d) 2/3.
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I throw a die with 6 sides. Consider the events, A=uneven and
B=prime number. Find the...
Consider an experiment corresponding to the single throw of a die. Let E1 be the event...
Consider an experiment corresponding to the single throw of a die. Let E1 be the event that the throw is one of 11,2,3,4) and let E2 the event that the throw is one of 13,4,5,6). You are given that P(E) P(E2) 2/3. (a) Identify the smallest o-algebra sf containing the events E1 and E2. (b) Attach probabilities P(J) to all the elements J E (c) What can you say about the probability P(11]) of the event associated to a throw...
4. Suppose that one die is rolled and you observe the number of dots facing up....
4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments?...
4. Suppose that one die is rolled and you observe the number of dots facing up....
4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments?...
4. Suppose that one die is rolled and you observe the number of dots facing up....
4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments?...
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled...
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...
Please complete all for my review 1) Consider a fair die with sides numbered N, N...
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1) Consider a fair die with sides numbered N, N 1, N 2, N +3, N +4, N 5 where N is a positive integer. Let X be the number facing up after rolling this die. a. (3 points) Identify the distribution of X and write out it's PMF b. (4 points) Determine the expected value and the variance of X. c. (4 points) Assuming N 15, give E[X], Var(X), and P(x 2 19).
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An experiment involves tossing a die. These are some of the events: A: Observe a 2...
An experiment involves tossing a die. These are some of the events: A: Observe a 2 B: Observe an even number C: Observe a number greater than 2 D: Observe both A and B E: Observer A or B or both F: Observe both A and C Find p(B) 1. 1/3 2. 1/2 3. 2/3 4. 5/6
Two, 9-sided, fair die are tossed, and the uppermost face of each die is observed.
Two, 9-sided, fair die are tossed, and the uppermost face of each die is observed. The following events are defined from this random experiment: Let...A : represent the event the uppermost faces sum to fourB : represent the event that the absolute difference between the uppermost faces is 2. For example, |die1-die2|=2C : represent the event that the product of the uppermost faces is four. For example, die1*die2 =4What is the probability that the top sides of these two dice:Part...
Both questions #1(1-6) and #2 Question t. A die was rolled twice. The first time it landed on a number that we will call “x". The second time it landed on a number that we will call "y"...
Both questions #1(1-6) and #2
Question t. A die was rolled twice. The first time it landed on a number that we will call “x". The second time it landed on a number that we will call "y" We will symbolize some events as follows: x is odd. B x is a prime. γ¡s odd. A: : D: y is a prime. that x andy are both odd may be expressed as P(АЛ C). (1) The chance that x is...
Consider an experiment corresponding to the single throw of a die. Let E1 be the event that the throw is one of 11,2,3,4) and let E2 the event that the throw is one of 13,4,5,6). You are given that P(E) P(E2) 2/3. (a) Identify the smallest o-algebra sf containing the events E1 and E2. (b) Attach probabilities P(J) to all the elements J E (c) What can you say about the probability P(11]) of the event associated to a throw...
4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments?...
4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments?...
4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments?...
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...
Please complete all for my review
1) Consider a fair die with sides numbered N, N 1, N 2, N +3, N +4, N 5 where N is a positive integer. Let X be the number facing up after rolling this die. a. (3 points) Identify the distribution of X and write out it's PMF b. (4 points) Determine the expected value and the variance of X. c. (4 points) Assuming N 15, give E[X], Var(X), and P(x 2 19).
Two, 9-sided, fair die are tossed, and the uppermost face of each die is observed. The following events are defined from this random experiment: Let...A : represent the event the uppermost faces sum to fourB : represent the event that the absolute difference between the uppermost faces is 2. For example, |die1-die2|=2C : represent the event that the product of the uppermost faces is four. For example, die1*die2 =4What is the probability that the top sides of these two dice:Part...
Both questions #1(1-6) and #2
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