5[program of truck replacement, using the following procedure:JA contractor owns 3 trucks for use in his construction jobs. He decides to institute a new(i) Any truck that has had more than 1 major breakdown on the job within a year will be evaluated todetermine the gas mileage (how many miles it gets per gallon of gas);(ii) Any truck given this special evaluation will be replaced if it gets less than 9 miles per gallon.From prior experience, the contractor knows two facts with a high degree of confidents: 1) for eachtruck, the mean rate of major breakdown is once every 0.75 year; 2) the gas consumption of trucks thathave more than 1 major breakdown is a normal variate N(10, 2.5) in miles per gallon.(a) What is the probability that a given truck will have more than 1 breakdown within a year?(b) What is the probability that a truck getting a special evaluation will fail to meet the gas millage test(see i above)?(c) What is probability that a given truck will be replaced within a year?(d) What is the probability that the contractor will replace exactly 1 truck within a year?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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c) Given the following ANOVA table: S.V d.f SS MS F-ratio Between Within Total ___ 32 36 191.450 104.720 ________ 47.863 _______ _______ i. Complete the ANOVA table. ii. Do the data provide sufficient evidence to indicate a difference among the treatment means? Test using 1% level of significance.
Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). B, C, and D
Genetic drugs are lower cost substitutes for brand-name drugs. Before a genetic drug can be sold in the United States, it must be tested found to perform equivalently to the brand-name product. The U.S. Food and Drug Administration is now supervising the testing of new genetic antifungal ointment. The Brand-name ointment is known to deliver a mean of 3.5 micrograms of active ingredient to each square centimeter of skin. As part of the testing, seven subjects apply the ointment. Six hours later, the amount of drugs that has been absorbed into the skin measured. The amounts, in micrograms, are 2.6, 3.2, 2.1, 3.0, 3.1, 2.9, 3.7 How strong is the evidence that the mean amount absorbed differs from 3.5 micrograms? Test by using a confidence interval with ?=0.05α=0.05. Show Step1-Step3. Round critical value to nearest hundredth. (e.g. 0.1256 would be entered as 0.13) Round confidence interval to nearest thousandth. (e.g. 0.12456 would be entered as 0.125)
Suppose that you had collected the following sample data (in inches) on the diameters of tree trunks, measured at waist level and growing at 2000’ elevation in the Cascade Mountains: 9.0, 6.2, 6.5, 7.0, 10.5 and 8.8. The sample Inter Quartile Range is: (a) 5.5 (b) 4.5 (c) 3.5 (d) 2.5 (e) 4.0 (f) None of the above
e) Suppose that the 3rd quartile is equal to 46. How much data is located above 46? Why?
1. For the two following exercises, identify: the population, the parameter and the variable, a) A fitness center is interested in the mean amount of time a client exercises in the center each week. b) A cardiologist is interested in the mean recovery period of her patients who have had heart attack
Vineyard Pines sells clothing online. In 2020, the mean value of orders placed with the company was $34.50. The President of the company made increasing the amount of the average order a priority for 2021. The company has just received the sales data for 2021. You just received the EXCEL file with details of the 400 orders in in the first quarter of 2021. You began by calculating the univariate statistics. Here are your findings:Total sales revenue:$14,000Number of orders in 2021:400Average order: $35.00Standard deviation of the individual orders: $5.20 Required: Determine the P-Value associated with the change in the average order total in 2021. Note that the company’s strategies for growth could have led to a reduction so we cannot assume a one-directional hypothesis. Given the number of data points (orders), you can assume a normal distribution and therefore assume a z-distribution for the data.
A traffic office in a country was in charge of a study where the safety of passengers in different types of cars was examined. Three models were examined; small cars, minivans and SUVS and six cars in each category were inspected. A special traffic accident simulator was used in the study and the pressure on the drivers' heads was measured. Umferðarastofa wanted to investigate whether there was a difference in the average pressure on the head during a collision in these three types of cars and used a variance analysis for this purpose. Failed to complete the square sum table, which can be seen below. weekend sum degree of freedom ave week sums between groups (area) 725.4 within groups (area) 178.6 XXX total Questions 1-3 deal with this study by the Traffic Authority. Question 1 What value should be given where xxx is in the table? 1 1.91 2. 2679 3. 3036.2 4. The information provided cannot be answered. Question 2 to be used to check if there is a difference in the average- What is the…
Q.No.3: Discuss different scales for the measurement of data with two examples
5. An ecologist is studying the flower Iris versicolor. He measures the width and length of 100 petals of this flower from a large collection of specimens and obtains the following data. Width: AVG = 1.3 cm, SD = 0.2 cm Length: AVG = 4.3 cm, SD = 0.5 cm r = 0.65 One of the petals is at the 30th percentile of both width and length. Relative to all the petals at the 30th percentile width, this petal's length is (circle one) smaller than average about average larger than average Justify your answer using a written explanation and/or a diagram.

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