"Probability Theory" Essays and Research Papers

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Probability Theory

Karan negi 12.2 12.3 We use equation 2 to find out probability: F(t)=1 – e^-Lt 1-e^-(0.4167)(10) = 0.98 almost certainty. This shows that probability of another arrival in the next 10 minutes. Now we figure out how many customers actually arrive within those 10 minutes. If the mean is 0.4167, then 0.4167*10=4.2, and we can round that to 4. X-axis represents minutes (0-10) Y-axis represents number of people. We can conclude from this chart that the highest point with the most visitors...

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Probability Theory and Poisson Process Counting

t) P (X > s + t) P (X > t) e−λ(s+t) e−λt e−λs P (X > s) – Example: Suppose that the amount of time one spends in a bank is exponentially distributed with mean 10 minutes, λ = 1/10. What is the probability that a customer will spend more than 15 minutes in the bank? What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes? Solution: P (X > 15) = e−15λ = e−3/2 = 0.22 P (X > 15|X > 10) = P (X > 5) = e−1/2 =...

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Probability Theory and Game of Chance

Probability Theory and Game of Chance Jingjing Xu April 24, 2012 I. INTRODUCTION Probability theory is the mathematical foundation of statistics, and it can be applied to many areas requiring large data analysis. Curiously, that the study on probability theory has its root in parlor games and gambling. In 17th century, dice gambling was a very common entertainment among the upper class. An...

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Probability Theory and Ans

solved. C) a numerical measure of a probability experiment.. Ans = C D) a qualitative attribute of a population. 4) Given the table of probabilities for the random variable x, does this form a probability distribution? Answer yes or no. x 5 10 15 25 P(x) 0.1 –0.1 0.3 0.8 Ans = No 5) True or False: The expected value of a discrete random variable may be negative Ans = True 6) The table of probabilities of the random variable x is given...

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Worksheet 5: Probability II

Worksheet 5 (Chapter 3): Probability II Name: ______________________________________________ Section: _________________________ For any of the following questions be sure to show appropriate work and give appropriate probability statements. 1. Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows. Intended Enrollment Status ...

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Probability Theory

guys, this is the probability Assignment. Last date for submission is 10 aug... Q1. What is the probability of picking a card that was either red or black? Q2. A problem in statistics is given to 5 students A, B, C, D, E. Their chances of solving it are ½,1/3,1/4,1/5,1/6. What is the probability that the problem will be solved? Q3. A person is known to hit the target in 3 out of 4 shots whereas another person is known to hit the target in 2 out of 3 shots. Find the probability that the target...

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Probability Test Questions

positions are filled at random form the 11 finalists, what is the probability of selecting: A: 3 females and 2 males? B: 4 females and 1 male? C: 5 females? D: At least 4 females? Problem 2 By examining the past driving records of drivers in a certain city, an insurance company has determined the following (empirical) probabilities: [pic] If a driver in this city is selected at random, what is the probability that: A: He or she drives less than 10,000 miles per year or has...

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Probability Theory

be able to ONEDefine probability. TWO Describe the classical, empirical, and subjective approaches to probability. THREEUnderstand the terms experiment, event, outcome, permutation, and combination. FOURDefine the terms conditional probability and joint probability. FIVE Calculate probabilities applying the rules of addition and multiplication. SIXUse a tree diagram to organize and compute probabilities. SEVEN Calculate a probability using Bayes theorem. What is probability There is really no answer...

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Probability Theory and Coins

Week Four Discussion 2 1. In your own words, describe two main differences between classical and empirical probabilities. The differences between classical and empirical probabilities are that classical assumes that all outcomes are likely to occur, while empirical involves actually physically observing and collecting the information. 2. Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not...

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Standard Deviation and Probability

companies and the probability of getting a job offer there. These data are tabulated below. The tabulation is in the decreasing order of cost. 1. If the graduate applies to all 10 companies, what is the probability that she will get at least one offer? 2. If she can apply to only one company, base on cost and success probability criteria alone, should she apply to company 5? Why or why not? 3. If she applies to companies 2,5,8, and 9, what is the total cost? What is the probability that she will...

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