Statistics Chapter 5 Some Important Discrete Probability Distributions 5-1 Chapter Goals After completing this chapter‚ you should be able to: Interpret the mean and standard deviation for a discrete probability distribution Explain covariance and its application in finance Use the binomial probability distribution to find probabilities Describe when to apply the binomial distribution Use Poisson discrete probability distributions to find probabilities 5-2 Definitions Random Variables
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Distribution Apples upstream partners are the manufactures Foxconn Technology Group‚ which also manufactures Apple’s iPod‚ iPhone and Mac Min. It is headquartered in Tucheng‚ Taiwan but it manufactures the Apple products in its largest plan in Shenzhen‚ China. However Apple does not disclose the makers of its components‚ research shows that various parts and suppliers include: * Apple A4 SoC: Samsung.[13][98] * NAND flash RAM chips: Toshiba; except Samsung for the 64 GB model.[99][100]
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The T-Distribution and T-Test “In probability and statistics‚ Student ’s t-distribution (or simply the t-distribution) is a continuous probability distribution that arises when estimating the mean of a normally distributed population in situations where the sample size is small” (Narasimhan ‚ 1996). Similar to the normal distribution‚ the t-distribution is symmetric and bell-shaped‚ but has heavier tails‚ meaning that it is more likely to produce values far from its mean. This makes the t-distribution
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“dispersion” or variability of the data about the measurements of central tendency. MEASUREMENTS OF CENTRAL TENDENCY The appropriateness of using the mean‚ median‚ or mode in data analysis is dependent upon the nature of the data set and its distribution (normal vs non-normal). The mean (denoted by x) is calculated by dividing the sum of the individual data points (where Σ equals “sum of”) by the number of observations (denoted by n). It is the arithmetic average of the observations and is used
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treaties‚ audio and video files and video games advanced by terrorists’ organizations or sympathizers. Nevertheless‚ what constitutes terrorist propaganda‚ as opposed to legitimate advocacy of a viewpoint‚ is often a subjective valuation. Further‚ the distribution of propaganda is generally not‚ in and of itself‚ a prohibited activity. One of the basic canons of international law is the protection of fundamental
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Binomial‚ Bernoulli and Poisson Distributions The Binomial‚ Bernoulli and Poisson distributions are discrete probability distributions in which the values that might be observed are restricted to being within a pre-defined list of possible values. This list has either a finite number of members‚ or at most is countable. * Binomial distribution In many cases‚ it is appropriate to summarize a group of independent observations by the number of observations in the group that represent one of
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So‚ Tata Motors needs to set up an efficient distribution system so that the products reach its consumers. In case of some perishable food products‚ physical distribution is a very important part of the whole business. The transportation of "Amul Butter" to the stores that sell "Amul Butter" is a big challenge. While transportation‚ the butter has to be stored properly‚ so that it does not get contaminated. To completely understand physical distribution‚ consider the case of "Amul Butter". Amul is
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AMA470 Midterm exam March 5‚ 2010 Please show full working out in order to obtain full marks. 1. Suppose that: • The number of claims per exposure period follows a Poisson distribution with mean λ = 110. • The size of each claim follows a lognormal distribution with parameters µ and σ 2 = 4. • The number of claims and claim sizes are independent. (a) Give two conditions for full credibility that can be completely determined by the information above. Make sure to define all terms in your definition
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skewed-right distribution with a mean of 10 minutes and a standard deviation of 8 minutes. Suppose 100 flights have been randomly sampled. Describe the sampling distribution of the mean waiting time between when the airplane taxis away from the terminal until the flight takes off for these 100 flights. a) Distribution is skewed-right with mean = 10 minutes and standard error = 0.8 minutes. b) Distribution is skewed-right with mean = 10 minutes and standard error = 8 minutes. c) Distribution is approximately
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Discrete and Continuous Probability All probability distributions can be categorized as discrete probability distributions or as continuous probability distributions (stattrek.com). A random variable is represented by “x” and it is the result of the discrete or continuous probability. A discrete probability is a random variable that can either be a finite or infinite of countable numbers. For example‚ the number of people who are online at the same time taking a statistics class at CTU on
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