FREQUENCY DISTRIBUTION WHAT IT IS Frequency distributions summarize and compress data by grouping it into classes and recording how many data points fall into each class. That is‚ they show how many observations on a given variable have a particular attribute. For example‚ a survey is taken of 50 people’s favorite color. The frequency distribution might indicate 15 people selected green‚ 12 blue‚ 6 red‚ 7 yellow‚ and 10 purple. Converting these raw numbers into percentages would then provide an
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the 5 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
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Exponential Distribution • Definition: Exponential distribution with parameter λ: λe−λx x ≥ 0 f (x) = 0 x s). = = = = = P (X > s + t|X > t) P (X > s + t‚ X > t) P (X > 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
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– 0.1131 = 0.3869 in the normal table) c ) the area between 0 to z is 0.4838‚ z = 2.14 d) the area to the right of +z = ( 1-0.95)/2 = 0.025‚ therefore z = 1.96 3. Given the Normally distributed variable X with mean 18 and standard deviation 2.5‚ find a) P(X < 15); b) the value of k such that P(X < k) = 0.2236; c) the value of k such that P(X > k) = 0.1814; d) P( 17 < X < 21). Ans : X ~ N ( 18‚ 2.52)
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Unit 6. Normal Distribution Solution to problems Statistics I. International Group Departamento de Economa Aplicada Universitat de Valncia May 20‚ 2010 Problem 35 Random variable X : weekly ticket sales (units) of a museum. X ∼ N(1000‚ 180) Find the probability of weekly sales exceeding 850 tickets. Find the probability of the interval 1000 to 1200 Take 5 weeks at random. Find the probability of weekly sales not exceeding 850 tickets in more than two weeks Ticket price is 4.5 Euros
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LEARNING OBJECTIVE: Understand and perform an integrated order-to-cash cycle .The goal of SAP Sales and Distribution (also referred to as SAP Supply Chain Management-Order Fulfillment) is to provide with a complete knowledge of the Sales Cycle implementation using SAP. Project Management and some background of the SAP Transportation System is also part of the case study. The basic learning is to perform the functional duties of a SAP SD Consultant and develop a strong conceptual and practical knowledge
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C | Resource Person: | Muhammad Hamid Mahmood | Submission: will be informed in class | Assignment # 2 Q1 | What is the preferred way for people to order fast food? A survey was conducted in 2009‚ but the sample sizes were not reported. Suppose the results‚ based on a sample of 100 males and 100 females‚ were as follows:If a respondent is selected at random‚ what is the probability that he or she a. prefers to order at the drive-through? b. is a male and prefers to order at the drive-through
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Cost management | Wilkerson Company Case | | 1. What is the competitive situation faced by Wilkerson? The competitive situation faced by Wilkerson is quite severe. Price cutting in its main product has led to a huge drop in profit. While price increase in another product line partially made up the loss. We will discuss the detailed situation line by line. (1) Valves It was the first product line developed by Wilkerson and its high quality brought it a loyal customer base. Even
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SIDS31081 - Statistics Refresher 2006 – 2007 Exercises (Probability and Random Variables) Exercise 1 Suppose that we have a sample space with five equally likely experimental outcomes : E1‚E2‚E3‚E4‚E5. Let A = {E1‚E2} B = {E3‚E4} C = {E2‚E3‚E5} a. Find P(A)‚ P(B)‚ P(C). b. Find P(A U B) . Are A and B mutually exclusive? c. Find Ac‚ Bc‚ P(Ac)‚ P(Bc). d. Find A U Bc and P(A U Bc) e. Find P(B U C) Exercise 2 A committee with two members is to be selected from a collection of 30
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M227 Chapter 1 Nature of Probability and Statistics OBJECTIVES Demonstrate knowledge of statistical terms. Differentiate between the two branches of statistics. Identify types of data. Identify the measurement level for each variable. Identify the four basic sampling techniques. Explain the difference between an observational and an experimental study. Explain how statistics can be used and misused. Explain the importance of computers and calculators in statistics. Statistics is the science
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