Compound Random experiment: Flip a penny, draw a marble from a bag containg 3 red, 5 orange, and 2 green marbles. Draw the tree diagram to represent this compound random experiment. List the sample space. Compute the probabilities for each of the atomic events of the sample space. Event A = { Red marble and head on penny or green marble tail on penny} Event B = { orange or green marble and head or tail on the penny} Calculate: p(A), p(b), p(A union B), and finally determine if they are independent events. Remember to defend your answer as answers

Q: contains 2 red, 5 green, 6 blue, and 5 yellow marbles. If a single marble is chosen at random from…

A: So by using definition of probability we can solve given problem-

Q: A manufacturing machine has a 9% defect rate. If 5 items are chosen at random, what is the…

A: Given that, A manufacturing machine has a 9% defect rate. Sample size = 5

Q: Dominique, Clarice, Roberto, and Marco work for a publishing company. The company wants to send two…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: What is the chance of Nathan, Brad and Amy being on the same team? (b) What is the chance of Kelsey,…

A: Here given, Nathan, Kelsey, Cindy, Brad, Amy and Maggie want to play a game. This game has three…

Q: A 4-sided die can be used to select a number at random from the numbers 1, 2, 3, 4.  Suppose you…

A:

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: uppose that in a certain community, 80% of drivers fasten their seat belt. Determine the probability…

A: Solution: Let X be the random variable that the number of drivers fasten their seat belt in certain…

Q: manufacturing machine has a 9% defect rate. If 4 items are chosen at random, what is the…

A: p=0.09n=4

Q: A jar contains 2 red, 4 green, 5 blue, and 5 yellow marbles. If a single marble is chosen at random…

A: Sample space = { 2 red marbles, 4 green marbles, 5 blue marbles, 5 yellow marbles } Number of…

Q: An experiment is performed where a 6-sided die is rolled and then a coin is flipped. The possible…

A: The objective of this question is to identify the sample space for an experiment where a 6-sided die…

Q: observed.  How many outcomes are in the sample

A:

Q: A manufacturing machine has a 5% defect rate.If 8 items are chosen at random, what is the…

A: Given,Probability for defective, P=5%=0.05.If 8 items are randomly chosen, n=8.

Q: An experiment is performed where an 8-sided die is rolled and then a coin is flipped. The possible…

A: From the provided information, The total outcomes after rolling a 8-sided and heads and tails for…

Q: In some city, 50% of the eligible voters prefer candidate A, 40% prefer candidate B, 10% have no…

A: 1. It is given that, 50% of the eligible voters prefer candidate A and 12 eligible voters are…

Q: When leaving a certain subway station a person can exit through any one of three gates, and any…

A: Given When leaving a certain subway station a person can exit through any one of three gates, and…

Q: A manufacturing machine has a 10% defect rate. If 9 items are chosen at random, what is the…

A: It is given that P( success ), p = 10% = 0.10Sample size, n = 9

Q: Dominique, Clarice, and Marco work for a publishing company. The company wants to send two employees…

A:

Q: A manufacturing machine has a 8% defect rate. If 6 items are chosen at random, what is the…

A: Given data:   The given probability of defect rate is p=8%=0.08. The given numbers of items are n=8.…

Q: An experiment is performed were in 6-sided die is rolled and then 3-color spinner is spun. The…

A: An experiment is performed were in 6-sided die is rolled and then 3-color spinner is spun. The…

Q: In a 2 colour spinner, the probability of spinning red is 4 times the probability of spinning green.…

A: Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Q: fair coin is flipped, and a six-sided fair die is thrown at the same time. Give the sample space for…

A:

Eight puzzle problem

The N-puzzle problem contains N tiles (N+1 including empty tiles) where the value of N can be 8, 15, 24, etc. The puzzle is divided into the square root of (N+1) rows and the square root of (N+1) columns. These problems have an initial state or configuration and a goal state or configuration. The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle.