"Probability theory" Essays and Research Papers

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    Final Exam Review

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    9 p-test or z-test ‚ using the critical value method Question 10 p-interval question Question 11 Given set of data points‚ calculate correlation coefficient(r) and r2 Question 12 Binomial probability question Question 13 Identifying null and alternate hypothesis Question 14 Finding probability from z tables Question 15 Z distribution question- Chapter 5 Question 16 Given a set of data points‚ you have to find the equation of the line- Chapter 9 Question 17 Identifying if the variable

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    Practice Prob 1 - Dam

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    made to high-risk borrowers. What is the probability that a high-risk borrower will default? 2. A fund manager is considering investing in the stock of a healthcare provider. The manager’s assessment of probabilities of the rates of return on this stock over the next year is summarized in the table below. |Rate of return |Less than -10% |-10% to 0% |0% to 10% |10% to 20% |More than 20% | |Probability |0.04

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    measured in each. Assuming that the tobacco company’s claim is true‚ what is the probability that the mean tar content of the sample is greater than 4.15 milligrams? [0.00621] 2. The safety limit of a crane is known to be 32 tons. The mean weight and the standard deviation of a large number of iron rods are 0.3 ton and 0.2 ton respectively. One hundred rods are lifted at a time. Compute the probability of an accident. [0.1587] 3. A soft –drink vending machine is

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    Distribution Assignment

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    Assignment Q1Find the parameters of binomial distribution when mean=4 and variance=3. Q2. The output of a production process is 10% defective. What is the probability of selecting exactly two defectives in a sample of 5? Q3. It is observed that 80% of television viewers watch “Boogie-Woogie” Programme. What is the probability that at least 80% of the viewers in a random sample of five watch this Programme? Q4. The normal rate of infection of a certain disease in animals is known to

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    Odds and New Text

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    Chapter 1: Permutations 1. In how many ways can three different awards be distributed among 20 students in the following situations? a. No student may receive more than one award. b. There is no limit on the number of awards won by one student. Answer: a) 6840 b)8000 2. Consider the word BASKETBALL: a. How many permutations are there? b. How many permutations begin with the letter K? c. How many permutations

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    End Term

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    General Motors for the coming year. Suppose the distribution of predictions for the population of financial analysts is normal. a) The probability is 0.10 that the sample variance is more than what percentage of the population variance? b) Determine any pair of numbers a and b to complete the following sentence: The probability is 0.95 that the sample variance is between a% and b% of the population variance. 2. A random sample of 202 vice presidents of marketing in corporations

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    Assignment 3

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    Model 2-door 4-door Automatic 135 351 Manual 251 213 If a car is picked at random from the fleet‚ calculate the probability that it is: (i) automatic‚ (2 marks) (ii) automatic or 2-door‚ (2 marks) (iii) manual and 4-door‚ (2 marks) (iv) 2-door given that it is manual transmission. (2 marks) 4. Consider a random variable M with the probabilities specified in the following figure: k 3 6 9 12 15 P (M = k) (i) Find E (M). (2 marks) (ii)

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    Exam 3 Study Guide

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    Exam 3 Study Guide Math 219 1. The probability that a randomly selected patient who visits the emergency room will die within 1 year of the visit is 0.05. (binomial probability distribution) a) What is the probability that exactly 1 of 10 randomly selected visitors to the ER will die within 1 year? b) What is the probability that fewer than 2 of 25 randomly selected visitors to the ER will die within 1 year? c) What is the probability that at least 2 of 25 randomly selected visitors

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    Decision Science

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    What is the utilization rate for this service? b. What is the average downtime for a machine that is broken? c. How many machines are waiting to be serviced at any given time? d. What is the probability that more than one machine is broken and waiting to be repaired or being serviced? ( that is the probability of more than one machine being in the system) 2. ‘Fridaz Car Wash at the UTech Barn’ estimates that dirty cars arrive at the rate of 10 per hour all day Friday. With the Hotters’ Girl crew

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    whether he or she opposes the death penalty; X is the number who say “Yes.” Yes B: Only two choices‚ yes or no I: It is reasonable to believe that all responses are independent (ignoring any “peer pressure”) N: n = 100 S: All have the same probability of saying “yes” since they are randomly chosen from the population (c) Joe buys a ticket in his state’s “Pick 3” lottery game every week; X is the number of times in a year that he wins a prize. Yes B: Only two choices‚ win or lose I: All responses

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