bagel. (a) Find the probability distribution for X. (b) Suppose at least 3 people buy a plain bagel. What is the probability that exactly 4 people buy a plain bagel? 3. The probability distribution for a discrete random variable X is given by the formula p(r) = for r = 1‚ 2‚ . . . ‚ 6. (a) Verify that this is a valid probability distribution. (b) Find P (X = 4). (c) Find P (X > 2). (d) Find the probability that X takes on the value 3 or 4. (e) Construct the corresponding probability histogram. 4. Two
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BE 13.8 Vertical analysis (common-size) percentages for Vallejo Company’s sales‚ cost of goods sold‚ and expenses are listed below: VERTICAL ANALYSIS 2012 2011 2010 Sales 100.0% 100.0% 100.0% Cost of goods sold 60.5 62.9 64.8 Expenses 26.0 26.6 27.5 Net Income 13.5 10.5 7.7 Did Vallejo’s net income as a percent of sales increase‚ decrease‚ or remain unchanged over the 3 year period. Provide numerical support for your answer. Sales – Cost of Goods Sold – Expenses = Net Income 100 – 64.8
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Homework 3 Probability 1. As part of a Pick Your Prize promotion‚ a store invited customers to choose which of three prizes they’d like to win. They also kept track of respondents’ gender. The following contingency table shows the results: | MP3 Player | Camera | Bike | Total | Men | 62 | 117 | 60 | 239 | Woman | 101 | 130 | 30 | 261 | Total | 163 | 247 | 90 | 500 | What is the probability that: a. a randomly selected customer would pick the camera? 247/500= 0.494=
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EXERCISE 36 6. Can ANOVA be used to test proposed relationships or predicted correlations between variables in a single group? Provide rationale for your answer. ANOVA cannot be used to test proposed relationships or predicted correlations between variables in a single group because it is designed to test for correlations and interactions amongst groups‚ i.e. in the test group of patients with OA you are testing the correlations between those who do not use GI and PMR and those that do. Although
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Final Examination Name: Course: Date: Final Examination in Statistics (M.A.Ed./M.A.N.) 1.The scores of 15 masteral students in Statistics were 80‚85‚78‚90‚91‚98‚95‚98‚95‚74‚71‚72‚98‚99‚and 87. Find the measures of central tendency‚ the range‚ the variance‚ and the standard deviation. 2. In the performance evaluation of teachers‚ if the dean’s evaluation is given a weight of 5‚ self-evaluation is 2‚ peer’s evaluation is 2‚ and student’s evaluation is 1 and the teacher’s
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18. Based on a simple random sample of one hundred an analyst estimates the average hourly wage earned by workers in a city to be $30 and computes the margin of error to be $5. Can we conclude from this that most workers there earn between $25 and $35 per hour? Is the right interpretation for the margin of error? 23. Polls showed the two main candidates in the 2004 presidential election were nearly tied on the day before the election. To predict the winner a newspaper would like to have a poll
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Problem Set #2 Ec 370 Summer‚ 2013 Michigan State University M. Naretta 1. Another popular sport on SASN is One-out‚ Two-base baseball. In this sport there are‚ obviously‚ two bases: home and 2nd. The batter hits the ball and runs to 2nd. If he or she (it’s a co-ed sport) gets a hit‚ then the batter is on second. If it’s an out‚ then the inning is over and the other team gets to bat. Suppose that it’s a hit. Then the next batter bats with a runner on 2nd base. If that
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MCB 150 Lab PROBLEM SET 1 1. The data below were obtained after performance of Ex. 2 as stated in your MCB 150 lab manual. a. Estimate the number of total bacteria‚ actinomycetes‚ fungi and algae per gram (dry weight) of soil collected from the IBS garden pH: 6.0 ODW: 8.6 grams Colony Counts: PDA 10-1: 210‚ 190 AMA 10-4: 125‚ 119 SCA 10-4: 80‚ 62 10-2: 20‚ 34 10-5: 17‚ 29 10-5: 18‚ 2 Algal Medium (no. of + tubes/ no. of inoculated tubes): 10-1: 5/ 5 10-2: 5/ 5 10-3: 3/ 5 10-4:
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Checkpoint Week One Exercise E9-2 E9-2 Trudy Company incurred the following costs. 1. Sales tax on factory machinery purchased $ 5‚000 2. Painting of and lettering on truck immediately upon purchase 700 3. Installation and testing of factory machinery 2‚000 4. Real estate broker’s commission on land purchased 3‚500 5. Insurance premium paid for first year’s insurance on new truck 880 6. Cost of landscaping on property purchased 7‚200 7. Cost of paving parking lot for
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Subject CT3 Probability and Mathematical Statistics Core Technical Syllabus for the 2014 exams 1 June 2013 Subject CT3 – Probability and Mathematical Statistics Core Technical Aim The aim of the Probability and Mathematical Statistics subject is to provide a grounding in the aspects of statistics and in particular statistical modelling that are of relevance to actuarial work. Links to other subjects Subjects CT4 – Models and CT6 – Statistical Methods: use the statistical concepts
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