Consider the experiment where a penny is flipped, a quarter is flipped, and a 6-sided die is rolled. Let d be the number of possible outcomes of this experiment. What is the value of d? (Give your answer as a single integer with no words.) Let E be the event that both the penny and the quarter come up Tails, and the die comes up an odd number. If p(E) = , where d is your answer above, what is the value of x? Enter your answer as a single integer with no words:
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- Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains 7 white and 4 black marbles. A random experiment is performed in two sequential trials by first drawing a marble randomly from box A and putting into Box B. In the second trial after the first trial, a marble is drawn randomly from box B. If we reverse the scenario, then what is the probability of drawing a black marble from box A given that a white marble is drawn from box B.A coin is flipped ten times, and each time it lands with the same result: either heads or tails. Can there be more than four possible outcomes with just three possible tails?Show that the following hypothesis lead to the conclusion “If I do not finish writing the program, then I will wake up feeling refreshed” If you send me an e-mail message, then I will finish writing the program. If you do not send me an e-mail message, then I will go to sleep early. If I go to sleep early, then I will wake up feeling refreshed.
- I need help with this problem involving Boolean variables and I am absolutely lost on this problem since I never seen anything like it. If (f(w,x,y,z) = (x+yz) + (wx). What is f(1,0,0,0) There is a line over (x+yz), there is a line over letter z, and there is a line over letter w.Let l be a line in the x-yplane. If l is a vertical line, its equation is x = a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y = mx + b, where b is the y-intercept. If l passes through the point (x₀, y₀), the equation of l can be written as y - y₀ = m(x - x₀). If (x₁, y₁) and (x₂, y₂) are two points in the x-y plane and x₁ ≠ x₂, the slope of line passing through these points is m = (y₂ - y₁)/(x₂ - x₁). Instructions Write a program that prompts the user for two points in the x-y plane. Input should be entered in the following order: Input x₁ Input y₁ Input x₂In attached image, there are 5 states, a, b, c, d, e. Two actions are available for each state: East, West except for the exit states a and e, where the only action available is “Exit”. The transition is deterministic. The rewards of the exit states are given as shown in Image. A) For γ= 1, what is the true utility ? (Please fill the form completely) Example response format: 10 10 10 10 10 (Please note the space!) B) For γ = 0.1, what is the true utility? Example response format: 10 0.1 10 10 0.1 (Please pay attention to the space!) C) For which γ are West and East equally good at state d? (please take to the fourth decimal place)Example response format: γ = 0.1234 (take to the fourth decimal place, please pay attention to the space!)
- Reduce the proposition ((s∨F)→w)∧(w→¬¬s) to s↔w using laws, including de Morgan's and conditional. Please put them in order, I attached a photo of the laws that can be used. Thanks!Match the following sentence to the best suitable answer: - A. B. C. D. "in how many ways a four-letter word can beformed from the letters A, B, C, D and E, where the word cannot start or end with the letter C. repetition is allowed" - A. B. C. D. The event of non-occurrence of another event in an probabilistic experiment E is called the - A. B. C. D. An/A _____________ is any subset of outcomes contained in the sample space. - A. B. C. D. nPn = A. Complementary Event B. event E C. 4 x 5 x 5Êx 4 = 400 D. n!Implement an algorithmic solution, indicating which states are valid and which are not, and model the space of the following problem: An interest group from a small town decided to sue a company for commercial abuse. For this, the people have organized themselves and decided to send 3 representatives, who will have to travel in a Van to the city where the lawsuit will be filed. The company to be sued, upon learning of these actions, has decided to send 3 lawyers to persuade the representatives, who will also travel in the same Van for that purpose. The community must file the class action suit under these conditions: - The three applicants must reach the destination city; - Only two people can travel per trip in the Van (small town - city, city - small town); - There can never be more lawyers than plaintiffs in any one place (either in the small town or city) because the lawyers can persuade the plaintiffs and as a consequence, the lawsuit would not be made; - The Van cannot be…
- Consider the case when several persons play the wireless phone game. They send a message from the first person until the last one and the message gets distorted. Simulate this process according to your own distortion rules.Let’s consider a long, quiet country road with houses scattered very sparsely along it. (We can picture the road as a long line segment, with an eastern endpoint and a western endpoint.) Further, let’s suppose that despite the bucolic setting, the residents of all these houses are avid cell phone users. You want to place cell phone base stations at certain points along the road, so that every house is within four miles of one of the base stations. Give an efficient algorithm that achieves this goal, using as few base stations as possible. Give the psudo code.Find simple, closed formula of the following sequence: F1, 2F2, 3F3, 4F4, ... (The F's are Fibonacci numbers)We have the answer (given by the textbook) : x*(d/dx){x/(1-x-x2)} = (x(1+x2))/((1-x-x2)2) And I'm just having trouble figuring out how to get to that point.