The annual rainfall in a certain region is modeled using the normal distribution shown below.The mean of the distribution is 36.9 cm and the standard deviation is 4.8 cm.In the figure, V is a number along the axis and is under the highest part of the curve.And, U and W are numbers along the axis that are each the same distance away from V.Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W.Percentage of total area shaded: (Choos20253035 040 0455055( cm)CheckSave For LaterSubmit2021 McGraw Hill LLC. A Rights Reserved. Terms of Use| Privacy CenterMacBook80F388F444escF1F10FSFBF9@23$&356789QET.YPAFGHKockCValtaltMOSISOcommandopticontroloptioncommand

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Answered: The annual rainfall in a certain region…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Fluorescent lighbulbs have lifetimes that are normally distributed with a mean of 6.9 years and a standard deviation of 1 years. The figure below shows the distribution of lifetimes of fluorescent lightbulbs. Calculate the shaded area under the curve. Express your answer in decimal form accurate to at least two decimal places. Answer: 4.9 6.23 Lifetines of Fluorescent Lightbulbs
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find Pso, the 50-percentile. This is the temperature reading separating the bottom 50% from the top 50%. P50 = °C
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Assume that at the average age of a population of wild turtles is normally distributed with mean age 15 years, and standard deviation 3 years. You see one of the turtles in the park. What is the age of a turtle who is at the 54 percentile? Round to two decimal places.
Assume that the length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean μ=266μ=266days and σ=16σ=16 days (in other words, X∼N(266,16)X∼N(266,16). Use a calculator or Excel to find the following values. a. What pregnancy length is less than 50% of the other pregnancy lengths? b. What length of pregnancy is shorter than 97.5% of all pregnancy lengths? Use 4 decimal places. c.Between what two numbers do the middle 70% of all pregnancy lengths fall? Use 4 decimal places.
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.7% of the thermometers are rejected because they have readings that are too high and another 2.7% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents the region in which thermometers are rejected? Choose the correct graph below. В. D. The cutoff values are degrees. (Use a comma to separate answers as needed. Round to two decimal places as needed.)
Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 20,17,15,15,22,21,16,16,20,22,15,21 Give the test statistic for this hypothesis test. Choose the correct answer from below options: a) z = 17.92 b) t = −5.17 c) t = 2.90 d) t = 5.17 e) z = −2.90 f) z = 5.17 g) t = −17.92
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degrees C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 95 , the 95 th percentile. This is the temperature reading separating the bottom 95 % from the top 5 %.
the temperature of a coffee cup is 185.3 degrees, is it a discrete or a continuos data set?
Thermometers used at the Tongas National Park in Alaska are supposed to give readings of 0° C at the freezing point of water. However, not all thermometers do, some give readings below 0°C (denoted by negative numbers) and some give readings above 0° C (denoted by positive numbers). Assume that the mean reading is 0° C and the standard deviation is 1.00° C. Also assume that these readings are normally distributed. A thermometer is randomly selected and tested. If 2% of the thermometers are rejected because they have readings that are too high (but all other thermometers are acceptable), find the the temperature that separates the rejected thermometers from the others. Round your answer to two decimal places. Temperature = Shade the appropriate region be sure to round you previous answer to one decimal place in order to graph: Shade: Left of a value Click and drag the arrows to adjust the values. -3 1 -/ 2 -1.5
Answer question 2 please
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.7% of the thermometers are rejected because they have readings that are too high and another 2.7% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents the region in which thermometers are rejected? Choose the correct graph below. O A. В. D.

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