Homework Answers
Ans 1
a) Conditional probability is the probability of happening an event when another event has already taken place. Example:- Probability of flood after rain.
b) Event is the outcome of a situation in which we have assigned probability. Example:- It is 90% probable that next card will be red of heart.
c) Joint probability is the probability of happening two events together. Example:- Probability of stock of ABC and XYZ attaining a growth of more than 10% in its price together.
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5:41 X 6.JPG Define each of these items: a. Conditional probability. b. Event c. Joint probability.
Create a real-world example of how to determine the conditional probability of event A given event...
Create a real-world example of how to determine the conditional probability of event A given event B. List the five steps and propose probabilities for each event A and B work through the step to find the conditional probability. (1 point each) Step 1: Step 2: Step 3: Step 4: Step 5:
Create a real-world example of how to determine the conditional probability of event A given event...
Create a real-world example of how to determine the conditional probability of event A given event B. List the five steps and propose probabilities for each event A and B work through the step to find the conditional probability. PLEASE WRITE CLEARLY OR TYPE. Step 1: Step 2: Step 3: Step 4: Step 5:
Specify each of the following. (a) The conditional distribution of X,, given that X2-X2 for the joint distribution with, μ1-0,P2-2, σ11-2, σ22-1, and P12:5 (b) The conditional distribution of X2, giv...
Specify each of the following. (a) The conditional distribution of X,, given that X2-X2 for the joint distribution with, μ1-0,P2-2, σ11-2, σ22-1, and P12:5 (b) The conditional distribution of X2, given that X1 - X1 and X3X3 for the joint distribution in Let X be N3 (H, 2) with ' [-3, 1, 4] and 1 -2 0 -2 5 0 L00 2 (c) The conditional distribution of X3, given that Xx and X2x2 for the joint distribution in Let X...
The probability of the second event in the situation if the first event has occurred is...
The probability of the second event in the situation if the first event has occurred is classified as A. series probability B. conditional probability C. joint probability D. dependent probability
Proofs a) With conditional probability, P(A|B), the axioms of probability hold for the event on the...
Proofs a) With conditional probability, P(A|B), the axioms of probability hold for the event on the left side of the bar. A useful consequence is applying the complement rule to conditional probability. We have that P(A|B) = 1 − P(A|B). Prove this by showing that P(A|B) + P(A|B) = 1 (Hint: just use the definition of conditional probability) b) If two events A and B are independent, then we know P(A ∩ B) = P(A)P(B). A fact is that if...
Let X be an exponential random variable with mean μ=2.0. Define the event A to be...
Let X be an exponential random variable with mean μ=2.0. Define the event A to be FXM(x/Ac) conditional probability distribution function fx /バ(x/ Ac ) , function and conditional density where A denotes the complement of the event A. [15 points] X/A
Let X and Y be two continuous random variables having the joint probability density below. f(x,y)={3xy/41 for 0<x<5,0<y<2, and x+y<5, 0 elsewhere} Find the joint probability density of...
Let X and Y be two continuous random variables having the joint probability density below. f(x,y)={3xy/41 for 0<x<5,0<y<2, and x+y<5, 0 elsewhere} Find the joint probability density of Z=3X+4Y and W=Y.
5. 0/7.14 points Previous Answers WaneFMAC7 8.5.019. Find the conditional probability of the indicated event when...
5. 0/7.14 points Previous Answers WaneFMAC7 8.5.019. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. HINT (See Example 1.] The red one is 6, given that the sum is 8. Submit Answer Practice Another Version 6. + -17.14 points WaneFMAC7 8.5.018. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. HINT (See Example 1.] The sum is 3, given...
Determine the value of c that makes the function f(x,y) = c(x+ y) a joint probability...
Determine the value of c that makes the function f(x,y) = c(x+ y) a joint probability mass function over the nine points with x= 1, 2, 3 and y = 1, 2, 3. Determine the following: a) P(X = 1, Y < 4) b) P(X = 1) c) P(Y = 2) d) P(X < 2, Y < 2) e) E(X), E(Y), V(X), V(Y) f) Marginal probability distribution of the random variableX. g) Conditional probability distribution of Y given that X...
Three fair dice, each has 6 different faces, are rolled. Let B define the event that...
Three fair dice, each has 6 different faces, are rolled. Let B define the event that no two or no three dice show the same face. What is the probability of B
Specify each of the following. (a) The conditional distribution of X,, given that X2-X2 for the joint distribution with, μ1-0,P2-2, σ11-2, σ22-1, and P12:5 (b) The conditional distribution of X2, given that X1 - X1 and X3X3 for the joint distribution in Let X be N3 (H, 2) with ' [-3, 1, 4] and 1 -2 0 -2 5 0 L00 2 (c) The conditional distribution of X3, given that Xx and X2x2 for the joint distribution in Let X...
Let X be an exponential random variable with mean μ=2.0. Define the event A to be FXM(x/Ac) conditional probability distribution function fx /バ(x/ Ac ) , function and conditional density where A denotes the complement of the event A. [15 points] X/A
5. 0/7.14 points Previous Answers WaneFMAC7 8.5.019. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. HINT (See Example 1.] The red one is 6, given that the sum is 8. Submit Answer Practice Another Version 6. + -17.14 points WaneFMAC7 8.5.018. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. HINT (See Example 1.] The sum is 3, given...
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