Exercise 4. For the experiment of rolling a single six-sided die once, define eventsT: the number rolled is threeG: the number rolled is four or greatera. List the outcomes that comprise T and Gb. List the outcomes that comprise TnG,TUG,Te, and (TUG)c. Assuming all outcomes are equally likely, find P(T nG), P(TU G), andP(T)Determine whether or not T and G are mutually exclusive. Explain why orwhy not.d.

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Answered: Exercise 4. For the experiment of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study of the incoming freshman class at a university found that 60% of the students had taken AP Calculus in high school, 55% had taken AP English in high school, and 20% had taken both AP Calculus and AP English. One incoming freshman is randomly selected from the population of incoming freshman. Let: C = the selected student took AP Calculus E = the selected student took AP English What is the probability that the selected incoming freshman took AP English or AP Calculus, i.e. P( C or E)? 0.15 O 0.75 0.80 0.05 0.95
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Assume that we have three coins: The first coin is fair. The second coin is unfair with probability of heads equal to 0.8. The third coin is also unfair with probability of heads equal to 0.3. Consider an experiment involving two successive coin tosses. The result of the first stage of the experiment is determined by the toss of the fair coin. The result of the second stage of the experiment is determined by the toss of a coin, but suppose that the coin that is used depends upon the result of the toss of the fair coin. Specifically, if the toss of the fair coin results in heads, then the second coin is tossed. Otherwise the third coin is tossed. Let H, and T, be the events that ith toss resulted in heads and tails, respectively. Answer the following questions. Calculate P(H,). Are the events H, and H, independent? Justify your answer analytically.

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