examination. The distribution of marks is shown in the following grouped frequency table. Marks|1–10|11–20|21–30|31–40|41–50|51–60|61–70|71–80|81–90|91–100| Number of candidates|15|50|100|170|260|220|90|45|30|20| (a) Copy and complete the following table‚ which presents the above data as a cumulative frequency distribution. (3) Mark|£10|£20|£30|£40|£50|£60|£70|£80|£90|£100| Number of candidates|15|65|||||905|||| (b) Draw a cumulative frequency graph of the distribution‚ using a scale of
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tobacco company indicates that the relative frequency distribution of tar content of its newly developed low-tar cigarette has a mean equal to 3.9 milligrams of tar per cigarette and a standard deviation equal to 1.0 milligram. Suppose a sample of 100 low-tar cigarettes is randomly selected from a day’s production and the tar content is measured in each. Assuming that the tobacco company’s claim is true‚ what is the probability that the mean tar content of the sample is greater than 4.15 milligrams
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Civilizations 12 How in your view was the world created ? In regards to the creation of the world‚ I believe that modern scientific explanations are more realistic than the theories of creationism. Science holds a definite‚ factual theory‚ while creationists believe that the Book of Genesis explains how the universe was created and that it is the infallible word of God. While I can’t disprove that some greater being created the earth‚ I find that scientific theories‚ like the Big Bang
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$100 5 15 6 26 Total 30 48 22 100 a) Find the probability that the amount paid is < $20 Answer: P(<$20) = b) Find the probability that the method of payment is credit Answer: P(Credit) = c) Find the probability that the amount is <$20 and the method of payment is credit? Answer: P(<$20) = d) Find the probability that the amount is <$20 or the method of payment is credit Answer: P(<$20 OR credit) =
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. 2. Explain why a product or system might have an overall reliability that is low even though it is comprised of components that have fairly high reliabilities. 4. A product engineer has developed the following equation for the cost of a system component: C _ (10 P ) 2 ‚ where C is the cost in dollars and P is the probability that the component will operate as expected. The system is composed of two identical components‚ both of which must operate for the system to operate. The engineer
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Marks: 1 Assume that X has a normal distribution‚ and find the indicated probability. The mean is μ = 60.0 and the standard deviation is σ = 4.0. Find the probability that X is less than 53.0. Choose one answer. a. 0.5589 b. 0.0401 c. 0.9599 d. 0.0802 Question2 Marks: 1 Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation. Assume that the population has a normal distribution. Weights of eggs: 95% confidence;
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problem 1‚ how much would cash flow be if there were only $10‚000 in depreciation? All other factors are the same. b. How much cash flow is lost due to the reduced depreciation between Problems 1 and 2a? 3. Cash flow (LO2) Assume a firm has earnings before depreciation and taxes of $500‚000 and no depreciation. It is in a 40 percent tax bracket. a. Compute its cash flow. b. Assume it has $500‚000 in depreciation. Recompute its cash flow. c. How large
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Math 107 002 Homework 5 (due 13 Oct 2011) Fall 2011 Please use your calculators and give your final answers to 3 significant figures. Show your work for full credit. Please state clearly all assumptions made. 1. Classify each random variable as discrete or continuous. (a) The number of visitors to the Museum of Science in Boston on a randomly selected day. (b) The camber-angle adjustment necessary for a front-end alignment. (c) The total number of pixels in a photograph produced by a digital camera
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(iii) Find the mean‚ median‚ range and standard deviation for the 1990 returns. Annual Returns % (1990) Mean 12.91865979 Median 11.38 Standard Deviation 9.297513067 Range 75.01 (iv) Repeat part (iii) for the 1998 returns. Annual Returns % (1998) Mean 6.355463918 Median 5.4 Standard Deviation 5.170830853 Range 42.76 (v) Which was the better year for investors? • 1990 was the better year for investors in regards to annual returns being consistent with the mean of 12.9% compare to
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Homework 3 Probability 1. As part of a Pick Your Prize promotion‚ a store invited customers to choose which of three prizes they’d like to win. They also kept track of respondents’ gender. The following contingency table shows the results: | MP3 Player | Camera | Bike | Total | Men | 62 | 117 | 60 | 239 | Woman | 101 | 130 | 30 | 261 | Total | 163 | 247 | 90 | 500 | What is the probability that: a. a randomly selected customer would pick the camera? 247/500= 0.494=
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