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    Quantitative Methods

    Hello Brainmass: Please answer the attached 60 Quantitative methods questions (some are t or f, some are multiple choice). This would be a great study guide for me.

    Statistics

    The U.S. Bureau of Labor Statistics collected data on the occupations of workers 25 to 64 years old. The following table shows the number of male and female workers (in millions) in each occupation category (Statistical Abstract of the United States: 2002) (see chart in the attached file) a. Develop a joint probability tab

    Binomial Distributions and Z-Scores

    1. A door to door salesperson believes that the probability of making a sale when a person is at home is 0.4 he visits 10 homes. When someone is at home find the probability of making a) exactly 7 sales b) more than 7 sales 2.For a binomial distribution with an n=200 and p=0.3 calculate the probability of obtaining between 50

    Probability Theory

    Indicate whether the sentence or statement is true or false. T 1. Deterministic techniques assume that no uncertainty exists in model parameters. F 2. The probabilities of mutually exclusive events sum to zero. T 3. A joint probability is the probability that two or more events that are not mutually exclusiv

    Dice Probabilty: Convolving Probability Mass Functions (PMF)

    There's 4 6-sided dice rolled independently. Set Y1 to be sum of the numbers on the first and second dice, Y2 to be sum of numbers on the third and fourth dice. Convolve PMFs of Y1 & Y2 to find the probability of the outcome of the 4 rolls summing to be 8.

    Normal Random Variables

    A & B are 2 independent normal random variables. A ~ N(0, σ2a); B ~ N(0, σ2b) Set C = A + B with C being normal. fC|A(c|a) is normal. Prove that conditional density fA|C(a|c) is normal for all values of y.

    Joint and Marginal Probability Distributions

    Person takes bus & subway to work. Bus runs every 20 min (X) & subway every 4 min (Y). Assume timing of the bus and subway are independent and uniform. ------------------ Please help find the joint and marginal distributions for this problem. Since they are independent I know that f(x,y) = fx(x) * fy(y) but do not understand

    Simple Probability, Sample Spaces, Events

    A couple has three children, assume the likelihood of a boy is the same as a girl: List sample space: {BBB,BBG,BGG,GGG} Event the children are grils: {GGG} Event the couple has one or more boy: {BBB,BBG,BGG} Probability all children are girls: 1/4 Probability the couple has at least one boy: 3/4 Probability the couple ha

    Eliminate parameter to find a cartesian equation of the curve

    1) The manager of a fast food restaurant determines that the average time that her customers wait for service is 2.5 minutes. a) Find the probability that a customer has to wait for more than 4 mintues. b) Find the probability that a customer is served within the first 2 minutes. Now, this was all worked out, but some ste

    Applications of Parabolas and Hyperbolas: Real-Life Applications of Probability

    One of the civil engineers you interviewed for your article works for a company which specializes in bridge construction projects. In the process of designing suspension bridges, they must account for many variables in the modeling. Some of these variables include the bridge span; the force of the typical water currents wear

    Probability & Statistics : Mean, Median and Histograms

    9. The price-to-earnings (PE) ratio of a stock is the ratio of a stock's most recent price per share to the stock's earnings per share (averaged over a 12-month period). Listed below are the PE ratios for 40 randomly selected securities traded on the New York Stock Exchange (NYSE) on Wednesday, August 24, 2005. Stock PE R

    Combinations and Subsets : Probabilities

    A committee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple belongs to the subcommittee?

    Process Flow Time - Queueing Problem and Critical Assumptions

    See the attached file. Fort Lost-in-the-Woods is a basic training center for new Army recruits. Upon arriving at the military post the new recruits are processed through the Induction Center that involves three steps: background information gathering, medical examination, and barracks assignment. Arriving inductees first enter

    Basic Statistics , measures of central tendency

    1. Each of the three measures of central tendency-the mean, the median, and the mode-are more appropriate for certain populations than others. For each type of measure, give two additional examples of populations where it would be the most appropriate indication of central tendency. 2. Find the mean, median, and mode of th

    Probability and Statistics: Varibables and Functions

    A4. A4. Let X be a discrete random variable with range RX = {1, 2, ...}. (a) Show that ..... (b) Suppose that X has probability mass function (pmf) .... (i) Find the cumulative distribution function (cdf) of X. (ii) Use (a) to find E(X). IMPORTANT: Could you please add at the end of the question a list of formulae under

    Frequency Table

    A secretary periodically checks to see how mnay of the three lines into the office are busy. Her findings for one week were the following: No. Lines busy Frequency 0 20 1 65 2 25 3

    Probability : Independent Dual Probability

    A student applies for two different scholarships. The probability of receiving the first scholarship is 0.3 and the probability of receiving the second is 0.4. The decisions are made independently. Find the probability the student receives exactly one scholarship. A. 0.12 B. 0.42 C. 0.46 D. 0.40

    Probability: Rayleigh Distributions

    A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by: f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0 f(y)=0 , elsewhere a) Show that mean=(1/2)*squareroot(pi/alpha) b) Show that the variance =(1/alpha)*(1-pi/4)

    Probability and Standard Deviation

    A Recent survey indicates that the average salary of all entry-level women managers in St. Paul is $56,700 with a standard deviation $7,200. What is the probability that a random sample of 50 such women will yield a mean entry-level that exceeds $58,000?