EE 562a: Random Processes in Engineering EE department‚ USC‚ Fall 2014 Instructor: Prof. Salman Avestimehr Homework 1 Solutions 1. (Axioms of Probability) Prove the union bound: n P [∪n Ak ] ≤ k=1 P [Aj ]. j=1 The union bound is useful because it does not require that the events Aj be independent or disjoint. Problem 1 Solution We prove this part by induction‚ for k = 2 we have P (A1 ∪ A2 ) = P (A1 ) + P (A2 ) − P (A1 ∩ A2 ) ≤ P (A1 ) + P (A2 ) (1) Now‚ assume that
Premium Probability theory Conditional probability Random variable
The Clash of Generations in the Work Place Discussions of workplace diversity predominantly encompass the topics of race‚ ethnicity‚ gender‚ sexual orientation‚ and disability. Generational differences‚ although not always included in these debates‚ are also part of the diversity that characterizes the contemporary labor force. For the first time in American history‚ we have four different generations working side-by-side in the work place. This study of the beliefs and values of the major generational
Premium Generation Y Strauss and Howe Cultural generations
experiment were the following: * Methyl red * 0.1M Nitric Acid * 0.5M Copper sulfate – sulfuric acid mixture * 0.1M Sodium hydroxide * Acetone * Distilled water The apparatus used were the following: * Phywe Transference Number Apparatus * Analytical Balance * Buret * Beaker * pipet The experiment starts off with the preparation of the set-up for the transference vessel. Fill the double U-tube with 0.1M Nitric acid. The double U-tube should be filled to
Premium Sulfuric acid Electrolysis Sodium hydroxide
action: The funny lyrics start coming in and Tyler Ward and his crew starts doing random dances.Climax: The climax is not much of the chorus of the song but the lyrics of the song.Resolution: There is no resolution in this song.Theme: embarrassment Primary messaging technique: The catchy beats of the song.Secondary messaging technique: The humour from the comment lyrics.Characters: All of Tyler Ward’s crew doing random embarrassing stuff.Point of View: 3rd person; Tyler Ward is singing about events
Premium Music video Video clip Embarrassment
Three is a Lucky Number Ronald Frederick was a very wary man who has his murders skilfully planned. He was well aware of the dangers of carelessness‚ but he had a curious way of earning a living‚ taking advantage of his wife’s fortune when they were killed. He had persuaded three women to marry him and then to will him their modest possessions. Each of his former wives had been shy. He was carefully to choose the right type because he felt that his success depend on it. Mary was the first. She
Premium Marriage Bathtub Bathroom
ARGUMENT ESSAY RANDOM DRUG TESTING Drug abuse has always been a very delicate question as it always it deals with the health‚ well-being and even lives of human beings belonging to any country. Many people have argued that mandatory drug testing is a violation of their civil rights guaranteed by the Constitution. The Fourth Amendment grants you the right against unreasonable searches and seizures‚ otherwise known as a person’s right to privacy. However‚ employers have the right to know whether
Premium Drug addiction Employment Addiction
2. Category of Number of the Noun. Regular – one. Plural – more than one. Regular Plurals: 1. Nouns ending in vowels & voiced consonants - -s(bee-bees‚ dog-dogs‚ [z]) 2. Voiceless consonants - -s(book-books‚ [s]) 3. –s‚-sh‚-ss‚-ch‚-x‚-z - -es (actress-actresses‚ [iz]) 4. –o: -es-hero-heroes. But: -os: after a vowel – bamboos‚ embryos‚ folios‚ kangaroos‚ radios‚ studios‚ zoos. In proper names – Romeos‚ Eskimos‚ Filipinos. In abbreviations - kilos‚ photos‚ pros(professional). Also: pianos
Premium Noun Pronoun Adjective
for Case Study 1-Random Mating You will start by placing 75 light-colored beans and 25 dark-colored beans into a bag. The 100 beans represent your initial gene pool. The light beans represent the F alleles‚ and the dark beans represent the f alleles. This is the gene pool produced by mating between heterozygous (Ff) and homozygous normal (FF) individuals. Use the following to determine the number of dominant alleles in the population and the same formula to determine the number of recessive alleles
Free Allele Genetics Evolution
Number The Stars Is about a girl named Annemarie Johansen. Annemarie lives in city of Copenhagen‚ Denmark‚ and in September 1943‚ the third year since the Nazi’s took over Denmark. Annemarie’s best friend is Ellen‚ who is Jewish‚ and is facing though times. One day‚ the girls stopped by soldiers on their way home from school. The two friends‚ who attend the same school and live in the same place‚ are frightened by an encounter with the Nazis. Mrs. Johansen and Mrs. Rosen were worried‚ and
Free Family Nazi Germany Nazism
Assignment answers 1. The educator as researcher‚ scholar and lifelong learner. (EDRHODG) 1) c 2) E 3) E 4) C 5) E 6) E 7) D 8) A 9) A 10) E 11) E 12) A 13) B 14) D 15) E 16) D 17) D 18) B 19) E 20) D 21) C 22) D 23) E 24) C 25) A 26) E 27) E 28) E 29) E 30) D 31) A 32) E 33) A 34) D 35) C 2. The educator in a pastoral Role (EDPHOD8) 1) 4 2)
Premium Prime number Harshad number