in this case‚ the sample size is 64-bottles of beers are large enough to assume the distribution for a probability is approximately normal nπ=64(0.5)=32>5n1-π=641-0.5=32>5 Among the three new machines‚ the population mean was obtained at 16 ounces with a standard deviation of .16 ounces. By obtaining a Z-score at -.35 for the sampling distribution‚ it’s believed that the probability of the new machines producing a group of 64 bottles with a mean of 15.993 ounces will be 36.32% In another
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Of course‚ if you recognized the fact that our standard Z-transformation accomplishes precisely this‚ you could write the transformation as . 1b. Find the probability that . Convert X into a standard normal via Z= . For X=18‚ Z=-1. For X=36‚ Z=.5. The probability that X is between 18 and 36 is thus equivalent to the probability of Z between -1 and .5. The latter term is F(.5)-F(-1)=.6915-.1587=.5328 1c. Supposing 5X‚ find the mean of . This is actually easier than 1a or 1b. μY =a+b
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CHAPTER 1 Individuals are the objects described by a set of data. Individuals may be people‚ but they may also be animals or things. A variable is any change of an individual. A variable can take different values for different individuals. A categorical variable places an individual into one of several groups or categories. A quantitative variable takes numerical values for which arithmetic operations such as adding and averaging make sense. The distribution of a variable tells us what values
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that red is the most popular. Scruffies are packed randomly‚ and on average 25% are red. (i) Find the probability that a packet contains no more than 6 red Scruffies. [2] (ii) Find the probability that a packet contains exactly 4 red Scruffies. [2] Because of a fault in the packing machine‚ one packet in ten now contains 19 Scruffies instead of 18. (iii) Find the new probability that a randomly selected packet contains exactly 4 red Scruffies. [5] In order to increase sales
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Question 4 2 out of 2 points What is the probability of rolling a number less than or equal to 6 on a six sided die? Selected Answer: 1 Correct Answer: 1 Response Feedback: P(event) = Question 5 2 out of 2 points What is the probability of picking a “g” in the word Georgia? Selected Answer: Correct Answer: Response Feedback: P(event) = Question 6 2 out of 2 points What is the probability of picking an “m” in the word Alabama? Selected
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Assignment Q1Find the parameters of binomial distribution when mean=4 and variance=3. Q2. The output of a production process is 10% defective. What is the probability of selecting exactly two defectives in a sample of 5? Q3. It is observed that 80% of television viewers watch “Boogie-Woogie” Programme. What is the probability that at least 80% of the viewers in a random sample of five watch this Programme? Q4. The normal rate of infection of a certain disease in animals is known to
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whether he or she opposes the death penalty; X is the number who say “Yes.” Yes B: Only two choices‚ yes or no I: It is reasonable to believe that all responses are independent (ignoring any “peer pressure”) N: n = 100 S: All have the same probability of saying “yes” since they are randomly chosen from the population (c) Joe buys a ticket in his state’s “Pick 3” lottery game every week; X is the number of times in a year that he wins a prize. Yes B: Only two choices‚ win or lose I: All responses
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Reliability analysis in ship’s critical machinery Objectives 1. Implement Markov process to identify availability of the engines of a vessel. 2. Using Monte Carlo simulation technique to model the Markov process using non-continuous transition rates. 3. Using the simulation model‚ calculate different reliability cost and worth‚ using numerous what-if scenarios. Objectives #1: Implement Markov process to identify availability of the engines of a vessel. Markov Process A Markov
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1. Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99 rule to find the following quantities: a. Percentage of rates less than 70 = 50% b. Percentage of rates less than 55 = 16% c. Relative frequency of rates less than 40 = 2.5% d. Percentage of rates less than 85 = 84% e. Relative frequency of rates less than 100 = 97.5% f. Percentage
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Exam 3 Study Guide Math 219 1. The probability that a randomly selected patient who visits the emergency room will die within 1 year of the visit is 0.05. (binomial probability distribution) a) What is the probability that exactly 1 of 10 randomly selected visitors to the ER will die within 1 year? b) What is the probability that fewer than 2 of 25 randomly selected visitors to the ER will die within 1 year? c) What is the probability that at least 2 of 25 randomly selected visitors
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