Given the following random experiment: Spin the spinner, it cannot land on a line. 1. Part A: What is the size of the sanıple space? |S| = Part B: How many possible events can be defined? 11 12 13 14 15
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Question #1 Part A & Part B.
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- 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?DISCRETE STRUCTURE Suppose we have an experiment that consists of flipping a coin 5 times. Find the probability of getting all Head and all Tail on five coin flips?A fair coin is flipped 3 times. What is the probability that the flips follow the exact sequence below? Flip One: Heads Flip Two: Heads Flip Three: Tails ⅛ ⅜ ⅓ ⅔ ½
- 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.Ten times out of ten, a coin will always land on its head. In how many cases are there four potential outcomes?Which of the following experiments does NOT have equally likely outcomes? A- Choose a number at random from 1 to 7. B- Toss a coin. C- Choose a letter at random from the word SCHOOL. D- None of the above.
- Each of 10 flips of a coin produces either a head or a tail. How many possible outcomes have four tails at most?Solve this problem using python. The experiment consists of two independent tosses of a fair coin, let X be the number of heads obtained. Define the random variable, define its PMF and plot it. Use appropriate scipy.stats methods to compute the probability of observing at least one heads.In 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!)
- 3. Give an example of a random variable X that takes on values from the set of all binary strings of length 4 where the min-entropy of X and the entropy of X are very different. Explain what is causing this phenomenon.DISCRETE STRUCTURE Question 1 Suppose we have an experiment that consists of flipping a coin 5 times. Find the total number for the outcomes for this experiment? List all the elements in the sample space? Find the probability that tails will be occurring at least 2 times on three coin flips? Find the probability of getting all Head and all Tail on five coin flips?Which of the following is not true about a Quantum computer with N qubits? (a) The Quantum computer can work with 2N states at the same time (b) The Quantum computer is faster than a classic computer because qubits are faster (c) The qubits can be entangled or not entangled depending on the problem being analyzed (d) Until it is measured, the state of the qubit can only be described as a probability