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can you help me finish my test review for math and answer the questions below Normal distributions are symmetrical and approach at the extremes. Of

can you help me finish my test review for math and answer the questions below

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Normal distributions are symmetrical and approach at the extremes. Of the data, % is within one standard deviation of the mean, _ % is within two standard deviations, and % is within three standard deviations of the mean. The area under any normal curve is. X~N(14.6, 0.022) 16) The thickness of an automobile's windshield can be represented by the normal distribution a) Sketch a normal curve for this distribution of windshields . Label the points that are 1, 2, and 3 standard deviations from the mean. b) What range of thickness does 68% of car windshields fall between? c) Draw a diagram and state the percent of data that represents each of the following: i) less than 14.58 mm ii) between 14.58 mm and 14.6 mmiii) more than 14.64 mm 17) If the mass of 35 dogs in your neighbourhood were represented by the normal distribution X~N(11.2, 2.82) a) Sketch a normal curve for this distribution of mass ". Label the points that are 1, 2, and 3 standard deviations from the mean. b) How many dogs would you expect to have a mass 11.2 kg or less?c) How many dogs would you expect to have a mass between 8.4 kg and 14 kg? X~N(8, 1.52 ) 18) Calculate the z-score for each x-value, correct to one decimal place, given the distribution a) x = 4.8 b) x =9.3 c) x = 2.9 19) Given a normally distributed data set whose mean is 30 and whose standard deviation is 5, what values of x would each of the following z-scores have? a) z = 1.00 b) z = 0.48 20) The grades on a test follow a normal distribution with a mean mark of 60 and a standard deviation of 18. at ban betodie a) Jean-Paul's mark is 77; what percentile is he in? b) If you want to be in the 90th percentile, what mark must you get on the test?20) Bubba Watson led the PGA tour in driving distance during the 2015 season. The length of his drives followed a normal distribution with a mean of 317 yards and a standard deviation of 10 yards. Find the percent of his drives that you would expect to have been: a) greater than 300 yards b) less than than 305 yards c) between 320 and 330 yards 21) For the distribution N(3, 0.742), determine the percent of the data that is within the given interval. a) X > 2.44 b) 1.8

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