MAT540 - Quantitative Methods (Homework # 2) Section A True/False Indicate whether the sentence or statement is true or false. __F__ 1. Two events that are independent cannot be mutually exclusive. __F__ 2. A joint probability can have a value greater than 1. __F__ 3. The intersection of A and Ac is the entire sample space. __T__ 4. If 50 of 250 people contacted make a donation to the city symphony‚ then the relative frequency method assigns a probability of .2 to the outcome of
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154 200 a. Give an example of a simple event Need less than 3 more clicks to be removed. b. Give an example of a joint event Need three or more clicks to be removed in 2008 (2 events : needs 3 or more clicks and happened in 2008) c. What is the complement of "Needs three or more clicks to be removed from an email list"? Need less than 3 more clicks. d.Why is "Needs three or more clicks to be removed from an email list in 2009" a joint event? It neeeds to fit both criteria‚ 3 or more
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revealed that 400 people could recall seeing the commercial and that 320 people actually bought the product. Of the people that bought the product‚ 240 could recall seeing the commercial. 1. Using the alphabetic characters B and R to represent the events “buying the product” and “recalling seeing the commercial” respectively‚ construct a 2x2 contingency/cross tabulation table to summarise the findings of the survey. 2. If the information revealed by the survey is typical of the population as a whole
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exact being Type of Criminals Terms of less than Five years Longer Terms First Offenders 120 40 Hardened Criminals 80 160 If one of the inmates is to be selected at random to be interviewed about prison conditions‚ H is the event that he is a hardened criminal‚ and L is the event that he is serving a longer term‚ determine each of the following probabilities: a. P(H) b. P(L) c. P(L∩H) d. P(L’∩H) e. P(L|H) f. P(H’ |L) 6. Let Z be a random variable for the number of heads obtained in four flips of a
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c. Find the conditional probability that a person subscribes to magazine A given that he or she subscribes to magazine B. Exercise 5 Let us consider a student who is taking two tests on a given day. Let A be the event that the student passes the first test and B be the event that he passes the second. Suppose that : P(A) = 0.6 P(B) = 0.8 P(A ∩ B) = 0.5 a. Find the probability that the student passes the second test given that he passes the first b. Find the probability that the
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tick answers at random. If he is allowed up to 3 chances to answer the question‚ find the probability that he will get marks in the question? Q7. A and B are two independent events. The probability that both occur simultaneously is 1/6 and the probability that neither occurs is 1/3. Find the probability of occurrence of event A and B separately? Q8. Three screws are drawn at random from a lot of 10 screws containing 4 defective. Find the probability that all the 3 screws drawn are non-defective
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down the expression) P(works) = P(A)*P(B) + P(C)*P(D)*P(E) – P(A)*P(B)*P(C)*P(D)*P(E) = 0.7*0.7 + 0.8*0.8*0.8 – 0.7*0.7*0.8*0.8*0.8 2. Finish the following Bayes theorem (only the basic version‚ not with total probability rule): For two events A and B‚ with P(A) > 0 and P(B) > 0‚ P(A|B) = P(B|A) * P(A) / P(B) 3. The probability that a regularly scheduled flight departs on time is P(D)=0.83; the probability that it arrives on time is P(A)=0.82; and the probability that it arrives
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The Chapter Five in "The Drunkard’s Walk" is "The Dueling Laws of Large and Small Numbers". At first‚ it discusses the problem about what is the connection between probability and observed results‚ however‚ true randomness does occur in nature. To learn more about the randomness‚ people found that nature’s perfect quantum dice. According to Benford’s law‚ numbers cumulative biased towards lower digits. This law can be used to identify fraud in dollar amounts. Then‚ the writer introduces two definitions
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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level Advanced International Certificate of Education MATHEMATICS STATISTICS Paper 6 Probability & Statistics 1 (S1) May/June 2004 1 hour 15 minutes Additional materials: Answer Booklet/Paper Graph paper List of Formulae (MF9) 9709/06 0390/06 READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet‚ follow the instructions on the front cover of the Booklet
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Module code: BSS002-6 Module Name: Business Data Analysis Submission: 30 November‚ 2012 I my class I learn how to simulate data to solve a problem. I learn to use excel and some function in it these are =SUM() = RAND() =AVERAGE() =STDV() =RANDINV() =VLOOKUP() and few more . These are widely used function when I simulated data in excel. In task 1 I find out how to calculate or forecast how much card should we print. I use a random variable with =RAND( function and use
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