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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Factor of safety and probability of failure Introduction How does one assess the acceptability of an engineering design? Relying on judgement alone can lead to one of the two extremes illustrated in Figure 1. The first case is economically unacceptable while the example illustrated in the drawing on the right violates all normal safety standards. Sensitivity studies The classical approach used in designing engineering structures is to consider the relationship between the capacity C (strength
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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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E-BOOKS VS PAPER BOOKS Reading has become one of the important elements in our life. We have been exposed to the books and learn how to read since we were still children. Couples of books innovations have been created since the past couple years. It started out with paper books or what we can call it as ‘traditional books’ and as the wave of publishing changes‚ we have the ‘modern books’ or known as virtual books that we can just keep it in our pocket‚ portable and flexible. However‚ some prefer
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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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Pakistan Paper : Pakistan Paper Products Ltd came into existence in 1951. At that time our newly founded country had to import all its paper products which was resulting in the drain of valuable foreign Exchange. Realizing the need of times‚ Mr. Hashim B. Sayeed armed with machinery and technical know how from Germany decided to set up a paper converting unit in Pakistan. In 1962 Pakistan Paper Products became a Private Limited company and then in 1964 it became a Public limited company and was
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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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