Question 1A car painting company has determined that the painting time of cars is uniformly distributed between 25 and 105 minutes. What is the probability that it will take between 40 and 65 minutes for that company to paint a car ?Group of answer choices80.75 %42.50 %25.00 %31.25 %Flag this QuestionQuestion 2The waiting times at a certain bus station are uniformly distributed between 7 and 15 minutes. What is the probability of waiting between 9 and 11 minutes ?Group of answer choices0.25080.5000.125Flag this QuestionQuestion 3The cooking time for a dish is uniformly distributed between 10 and 20 minutes. What is the probability that the cooking will take between 14 and 16 minutes ?Group of answer choices0.20000.14160.07500.3146Flag this QuestionQuestion 4A car painting company has determined that the painting time of cars is uniformly distributed between 30 and 105 minutes. What is the probability that this company will take less than 1 hour to paint a car ?Group of answer choices35 %40 %75 %20 %Flag this QuestionQuestion 5The baking time for a cake is uniformly distributed between 10 and 18 minutes. What is the probability that the baking process takes more than 14 minutes ?Group of answer choices80.5000.2500.125Flag this QuestionQuestion 6The driving time for an individual from his home to his office is uniformly distributed between 20 minutes and 1 hour. Compute the probability that this individual takes more than half an hour to drive from home to office.Group of answer choices20 %30 %55 %75 %Flag this QuestionQuestion 7The baking time for a cake is uniformly distributed between 10 and 18 minutes. What is the probability that the baking process takes more than 14 minutes ?Group of answer choices0.5000.2500.1258Flag this QuestionQuestion 8The following graph represents a ____________ distribution.Group of answer choicesnormalbinomialuniformPoissonFlag this QuestionQuestion 9The area under the graph of a ____________ is equal to ____________.Group of answer choiceshistogram ------------ the medianuniform distribution ------------ 1normal distribution ------------ 0scatter plot ------------ 50 %Flag this QuestionQuestion 10The graph of a ____________ distribution has the shape of a rectangle. The graph of a ____________ distribution has the shape of a bell.Group of answer choicesPoisson ------------ uniformnormal ------------ binomialuniform ------------ normalbinomial ------------ uniformFlag this QuestionQuestion 11A) The following graph represents a ____________ probability distribution. B) The following graph represents a ____________ probability distribution. Group of answer choicesA) binomialB) uniformA) normalB) uniformA) uniformB) normalA) discreteB) PoissonFlag this QuestionQuestion 12The ACT scores of students are normally distributed with a mean of 18 and a standard deviation of 6. What percentage of students score between 10 and 15 ?Group of answer choices9.12 %30.85 %78.27 %21.73 %Flag this QuestionQuestion 13The grades of students in an exam are normally distributed with a mean of 75 and a standard deviation of 5. What percentage of grades are between 72 and 90 ?Group of answer choices13.24 %27.56 %72.44 %90.72 %Flag this QuestionQuestion 14A tea bag packing machine manufactures bags of tea whose weights are normally distributed with a mean of 250 g and a standard deviation of 2.5 g. What percentage of tea bags weight less than 245 g ?Group of answer choices45.01 %2.28 %39.26 %97.72 %Flag this QuestionQuestion 15The fuel efficiency of a particular model of car is normally distributed with a mean of 28 miles/gallon and a standard deviation of 2 miles/gallon. What percentage of cars of that model have a fuel efficiency below 25 miles/gallon ?Group of answer choices93.32 %15.87 %6.68 %24.17 %Flag this QuestionQuestion 16Assume that the heights of women are normally distributed with a mean of 65 inches and a standard deviation of 3 inches. If a woman is randomly selected , what is the probability that she is taller than 70 inches ?Group of answer choices0.95220.04780.90440.0956Flag this QuestionQuestion 17The grades of students on a test are normally distributed with a mean of 70 and a standard deviation of 8. What percentage of students scored more than 75 in the test ?Group of answer choices74.02 %23.4 %73.4 %26.6 %Flag this QuestionQuestion 18The Normal Probability Distribution is an example of a ____________ probability distribution.Group of answer choicesdiscretecontinuousPoissonuniformFlag this QuestionQuestion 19The salaries of teachers in a particular school district are normally distributed with a mean of $ 50,000 and a standard deviation of $ 2,500. Due to budget limitations, teachers in the top 2 % of salaries will not get a raise. What is the cutoff salary ( rounded to the nearest dollar ) that separates the teachers that get the raise from those that don't get the raise ?Group of answer choices$ 54,702$ 55,134$ 45,298$ 44,866Flag this QuestionQuestion 20In a cookie factory, the masses of cookies are normally distributed with a mean of 40 g and a standard deviation of 2 g. If the 5 % heaviest cookies are rejected, what is the least weight for a cookie to be rejected ?Group of answer choices43.3 g35.3 g55.7 g41.2 g

ScenarioAccording to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform California Earthquake Rupture Forecast (UCERF).As a junior analyst at the USGS, you are tasked to determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and depths from the earthquakes. Your deliverables will be a PowerPoint presentation you will create summarizing your findings and an excel document to show your work.Concepts Being StudiedCorrelation and regressionCreating scatterplotsConstructing and interpreting a Hypothesis Test for Correlation using r as the test statisticYou are given a spreadsheet Click for more optionsthat contains the following information:Magnitude measured on the Richter scaleDepth in kmUsing the spreadsheet, you will answer the problems below in a PowerPoint presentation.What to SubmitThe PowerPoint presentation should answer and explain the following questions based on the spreadsheet provided above.Slide 1: Title slideSlide 2: Introduce your scenario and data set including the variables provided.Slide 3: Construct a scatterplot of the two variables provided in the spreadsheet. Include a description of what you see in the scatterplot.Slide 4: Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values.Slide 5: Determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and the depths from the earthquakes. Explain.Slide 6: Find the regression equation. Let the predictor (x) variable be the magnitude. Identify the slope and the y-intercept within your regression equation.Slide 7: Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units.Slide 8: Conclude by recapping your ideas by summarizing the information presented in context of the scenario.Along with your PowerPoint presentation, you should include your Excel document which shows all calculations using the excel functions.