Ch6 Probability Review Name: Government data give the following
... E. Both (A) and (B) are true. 7. A die is loaded so that the number 6 comes up three times as often as any other number. What is the probability of rolling a 1 or a 6? ...
... E. Both (A) and (B) are true. 7. A die is loaded so that the number 6 comes up three times as often as any other number. What is the probability of rolling a 1 or a 6? ...
3 Probabilistic Turing Machines
... The idea of considering many different computational paths is appealing, and though we cannot do so nondeterministically, probabilistic Turing machines are a deterministic “approximation” that we can implement and that can be useful in some situations in which vanilla deterministic Turing machines m ...
... The idea of considering many different computational paths is appealing, and though we cannot do so nondeterministically, probabilistic Turing machines are a deterministic “approximation” that we can implement and that can be useful in some situations in which vanilla deterministic Turing machines m ...
The Learnability of Quantum States
... Blier and Tapp (independent of us): 3-COLORING admits a 2-prover QMA protocol with witnesses of size log(n), and a (1/n6) probability of catching cheating provers This work: A protocol for 3SAT with Õ(n) quantum witnesses of size log(n), and constant soundness ...
... Blier and Tapp (independent of us): 3-COLORING admits a 2-prover QMA protocol with witnesses of size log(n), and a (1/n6) probability of catching cheating provers This work: A protocol for 3SAT with Õ(n) quantum witnesses of size log(n), and constant soundness ...
Uncertain Decisions and The Many Minds
... due course I shall describe a metaphysical picture which will make my radical suggestion comprehensible, indeed mandatory. But for the moment I only want to make the abstract point that, if we could somehow ditch (A), then there would be no remaining problem of squaring (B)-assessments with (A)-asse ...
... due course I shall describe a metaphysical picture which will make my radical suggestion comprehensible, indeed mandatory. But for the moment I only want to make the abstract point that, if we could somehow ditch (A), then there would be no remaining problem of squaring (B)-assessments with (A)-asse ...
Typical Test Problems (with solutions)
... problem, The Binomial distribution can be used only when the probabilities of two outcomes do not depend on the number of previous trials. This condition is not fulfilled in our example. The probability of choosing a white ball depends on the outcomes of previous selections. The same is true for the ...
... problem, The Binomial distribution can be used only when the probabilities of two outcomes do not depend on the number of previous trials. This condition is not fulfilled in our example. The probability of choosing a white ball depends on the outcomes of previous selections. The same is true for the ...
Necessary and sufficient conditions
... Loyalty is not sufficient for honesty because one might have to lie in order to protect the person one is loyal to. ...
... Loyalty is not sufficient for honesty because one might have to lie in order to protect the person one is loyal to. ...
Creating a Probability Model
... Goal: The goal of this activity is for students to grasp the understanding of how to put together a probability model for the rolling of a single die and also the sum of the rolls of two dice. Materials: This worksheet and a pencil. Optional: two pairs of dice Directions: Have students get into grou ...
... Goal: The goal of this activity is for students to grasp the understanding of how to put together a probability model for the rolling of a single die and also the sum of the rolls of two dice. Materials: This worksheet and a pencil. Optional: two pairs of dice Directions: Have students get into grou ...
Section 1: Basic Probability Concepts
... probability function P is uniform if P[ai ] = k1 . This says that each outcome is equally (or uniformly) likely to occur. When rolling a fair six-sided die, each side is equally likely to come up. In fact, the probability of getting any one side is 16 . Thus we have a uniform probability function P ...
... probability function P is uniform if P[ai ] = k1 . This says that each outcome is equally (or uniformly) likely to occur. When rolling a fair six-sided die, each side is equally likely to come up. In fact, the probability of getting any one side is 16 . Thus we have a uniform probability function P ...
311 review sheet. The exam covers sections 3.4, 3.5, 3.6, 3.7, 3.8
... 7. Let f (x) = cx(1 − x) for x in [0, 1] and 0 otherwise. Let X be a random variable with this density. (a) Find c (b) Find P(X > 1/2) (c) Find P(X ≤ 1/4). (d) Find E(X) (e) Find VAR(X). 8. Suppose X is uniform over the interval [10, 15]. Find VAR(X). 9. 10 random numbers are chosen uniformly from ...
... 7. Let f (x) = cx(1 − x) for x in [0, 1] and 0 otherwise. Let X be a random variable with this density. (a) Find c (b) Find P(X > 1/2) (c) Find P(X ≤ 1/4). (d) Find E(X) (e) Find VAR(X). 8. Suppose X is uniform over the interval [10, 15]. Find VAR(X). 9. 10 random numbers are chosen uniformly from ...
