Homework 4.3 #21 43% of adults in the US receive fewer than 5 phone calls a day. In a random sample of 7 adults‚ what is the probability that the number receiving fewer than five calls a day is (a) exactly 3 (b) at least 3 (c) more than 3? n p 7 0.43 x P(Exactly x) P(At most x) P(At least x) 0 0.0195 0.0195 1.0000 1 0.1032 0.1228 0.9805 2 0.2336 0.3564 0.8772 3 0.2937 0.6502 0.6436 4 0.2216 0.8718 0.3498 5 0.1003 0.9721 0.1282 6 0.0252 0.9973 0.0279 7 0.0027 1.0000 0.0027
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heads 4 times in a row. Let A represent the probability of rolling 4 heads. Therefor the probability of rolling a head four times is . b) There are 16 possible outcomes when tossing a coin 4 times. There are exactly 6 ways of tossing exactly 2 heads: Let A represent the probability of rolling exactly 2 heads. Therefor the probability of rolling exactly 2 heads is c) p’(rolling exactly 2 heads)=1-p(rolling exactly 2 heads) Therefor the probability of not rolling exactly 2 heads is 44.a)
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BUS216 Exam #2 Review – Discrete Distributions 1. The number of calls coming into a PBX has a mean of 120 calls per hour. What is the probability of no calls in a one-minute interval? .1353 2. A school is sending 18 children to a camp. If 15% of the children in the school are first graders‚ and the 18 children are selected at random from among all 6 grades at the school‚ find the mean and variance of the number of first graders chosen? The mean is 2.7‚ and the variance is 2.3. n
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(BNN) and Naïve Bayes (NB). Bayes data mining technique are a fundamentally important technique. Bayes theorem finds the event occurring probability given the probability of another already occurred event. Bayes Rule is applied for calculating the posterior from the prior and the likelihood‚ due to the later two is generally easier to be generated from a probability model. Statistics provide a strong fundamental background to quantify and evaluate the results. However‚ algorithms based on statistics
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Waiting Line Models The Structure of a Waiting Line System Queuing Systems Queuing System Input Characteristics Queuing System Operating Characteristics Analytical Formulas Single-Channel Waiting Line Model with Poisson Arrivals and Exponential Service Times Multiple-Channel Waiting Line Model with Poisson Arrivals and Exponential Service Times Economic Analysis of Waiting Lines Slide 1 Structure of a Waiting Line System Queuing theory is the study
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Page 1 of 3 ASSIGNMENT 2ND SEMESTER : STATISTICAL ANALYSIS (STAT) STUDY UNITS COVERED DUE DATE TOTAL MARKS : CHAPTERS 1 - 8 : 3.00 p.m. 17 AUGUST 2010 : 100 INSTRUCTIONS TO CANDIDATES FOR COMPLETING AND SUBMITTING ASSIGNMENTS The complete ‘Instructions to Students for Completing and Submitting Assignments’ must be collected from any IMM GSM office‚ the relevant Student Support Centre or can be downloaded from the IMM GSM website. It is essential that the complete instructions be studied prior
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• To represent actual decision-making under conditions of uncertainty for evaluating alternative courses of action based upon facts and assumptions. MONTE CARLO TECHNIQUE STEPS: 1. Setting up a probability distribution for variables to be analyzed. 2. Building a cumulative probability distribution for each random variable. 3. Generate random numbers . 4. Conduct the simulation experiment by means of random sampling 5. Repeat step 4 until the required number of simulation runs has
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year. (a) Find the mean waiting time between accidents. (b) Find the standard deviation of the waiting times between accidents. (c) Find the probability that more than one year elapses between accidents. (d) Find the probability that less than one month elapses between accidents. (e) If no accidents have occurred within the last six months‚ what is the probability that an accident will occur within the next year? Question 4: [20 points] If T is a continuous random
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Hicks .5 MULTIPLE CHOICE Find the indicated probability. | 1) The table below describes the smoking habits of a group of asthma sufferers. 1) | | Light | Heavy | | Non-smoker | Smoker | Smoker | Total | Men | 431 | 44 | 41 | 516 | Women | 378 | 37 | 48 | 463 | Total | 809 | 81 | 89 | 979 | If two different people are randomly selected from the 979 subjects‚ find the probability that they are both heavy smokers. A) 0.0001262
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Marks: 100 ASSIGNMENT No. 1 (Units 1–4) Note: All questions carry equal marks. Q.1 (a) In a game show‚ the contestant is shown 10 boxes‚ 3 of which contain prizes. If a contestant is allowed to select any three boxes then what is the probability that i) The contestant wins all the three prizes. ii) Only one selected box contains prize. (b) Explain the rolling of a fair die and then flipping of a fair coin with the help of tree diagram. Q.2 (a) How can
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