customer have to buy 100 bars of soap‚ so that he or she has purchased three bars containing a $50 or $100 bill. d. Given n=1000‚ E(X) = 5.97‚ SD(x) = 9.68912 The probability that a soap contains a bill of $20 or above is 100 / 1000 = 0.0.1 Binomial with n =8‚ p = 0.1 Hence the probability that at least one of these bar contains a bill of $20 or larger is 0.5595 Q.6 Answer Number of Children Frequency 1996 2006 1 3671455 3971276 2 100750 137085 3 5298
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successes in n trials) = Example using the binomial distribution A company employs a large number of graduates each September . In spite of careful recruitment including interviews and assessment centres‚ the company finds that 2% of graduates have left the company within one month of starting. Use the binomial distribution to find the probability that: i) Three out of a sample of 10 graduates will have left the company within one month of starting. – Binomial with n= 10‚ p=0.02. P(three leave) = 10c3
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accounts‚ determine the probability that p=30% @ 0.3 n=10 X~B(10‚0.3) a. none of the account is overdue By referring to the Binomial Table‚ P(X=0) = 1 – P(X ≥ 1) = 1 – 0.9718 = 0.0282 b. exactly 2 accounts are overdue By referring to the Binomial Table‚ P(X=2) = P(X ≥ 2) – P(X ≥ 3) = 0.8507 – 0.6172 = 0.2335 c. less than 5 accounts are overdue. By referring to the Binomial Table‚ P(X<5) = 1 – P(X ≥ 5) = 1 – 0.1503 = 0.8497 d. Suppose that in a year‚ an auditor is responsible to check
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Explain how gradualism and punctuated equilibrium relate to evolution. - Both involve the species evolving either over a long period of time or rapidly. 4. What does a paleontologist do? - Scientists who study fossils. Ch. 14. 5. Define binomial nomenclature. - Linnaeus’s two-word system for naming organisms. 6. Define taxonomy. - The science of naming and classifying organisms. 7. The basic (smallest) biological unit in the Linnaean system of classification is the Species. 8
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anthropologist Black racist… said closer to primates than whites. caucazoid‚ mongloid‚ negroid Culture Traditions and customs that govern behavior and beliefs; distinctly human; transmitted through learning. | | Carl Linnaeus Binomial nomenclature… taxonomy Pioneer researcher in defining race Johann Blumenbach Explore mankind thru natural history… uses comparative anatomy Divided people into five faces based on crania research Believed in degeneration theory: other races came
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5ab)(12 − 5ab) = (12)2 − (5ab)2 = 144 − 25a2b2 • Square of a Sum of Binomials (x + y)2 = x2 + 2xy + y2‚ we have: 1. (5a + 2b)2 = (5a)2 + 2(5a)(2b) + (2b)2 = 25a2 + 20ab + 4b2 2. (3x + 10y)2 = (3x)2 + (2)(3x)(10y) + (10y)2 = 9x2+ 60xy + 100y2 3. (9z + 3)2 = (9z)2 + 2(9z)(3) + (3)2[Apply pattern.] = 81z2 + 54z + 9[Simplify.] • Square of a Difference of Binomials (x − y)2 = x2 − 2xy + y2‚ we have: 1. (3p − 4q)2 = (3p)2 − (2)(3p)(4q)
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question Question 6 Poisson or Binomial question Question 7 Given a set of data points‚ you will have to calculate the descriptive stats- mean‚ median‚ mode‚ st. dev‚ variance‚ etc Question 8 Binomial question‚ if question 6 was a Poisson question and vice versa. Question 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
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Section 1: Review and Preview * Chapters 2 and 3 used “descriptive statistics when summarizing data using tools (such as graphs)‚ and statistics (such as mean and standard deviation) * Methods of inferential statistics use sample data to make an inference or conclusion about a population * Two main activities of inferential statistics are using sample data to… * Estimate a population parameters * Such as estimating a population parameter with a confidence interval
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Name __________________________________________ Test Name: MAT 070 Spring 2012 Final Exam Version 2 1. Perform the indicated operation by removing the parentheses and combining like terms. Answer: ______________ 2. Find the LCM of the set of algebraic expressions. Answer: ______________ 3. Evaluate the given polynomial at = ‚ = . Answer: ______________ 4. Simplify the expression using the properties of exponents
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Chapter 14 Lecture Outline Prepared by Andrea D. Leonard University of Louisiana at Lafayette Copyright © The McGraw-Hill Companies‚ Inc. Permission required for reproduction or display. Organic Compounds that Contain Oxygen‚ Halogen‚ or Sulfur Four families of compounds that contain a C atom singly bonded to O‚ S‚ or X (F‚ Cl‚ Br‚ or I) are: 1. Alcohols‚ which contain an OH (hydroxyl) group 2. Ethers‚ which have two alkyl groups bonded to an O atom 2 Organic Compounds that Contain
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