You have designed a new efficient light bulb and in order to predict its life expectancy, youconducted a series of experiments on 135 of these light bulbs and gathered the following data.Number of Hours theLight Bulb Functionedbefore Failing700800900100011001200Frequency152034282216a) Plot the data, and calculate the mean, standard deviation, and variance.b) Calculate the probability distribution, and plot the probability distribution curve.Show all your calculations.

Given data: Total number of bulbs n=135 Let f be the frequency and 'x' be the number of hours the…

Answered: You have designed a new efficient light…

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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You are observing the speeds of two CPUs, to find which one is expected to run faster. After a number of observations, you came up with the following results: CPU Speed Measurements 37 38 40 35 30 31 26 25 Number of Observations 18 15 CPU 1 CPU 2 10 10 10 5 0 2.0-24 2.5-2.9 3.5 - 3.9 4.0 - 4.5 3.0-3.4 Speed (GHz) A. Using this data, calculate the expected speed of each processor, and determine which of the two is faster. (Hint: when given a range of speeds, you can consider the average value within that range to be the speed at which the observations occurred).
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The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of 500,000, how many people would you expect to die of cancercancer each year? Cause Deaths Cause Deaths Heart disease 596 comma 700596,700 Alzheimer's disease 84 comma 90084,900 Cancer 575 comma 300575,300 Diabetes 73 comma 40073,400 Chronic respiratory diseases 143 comma 100143,100 Pneumonia/Influenza 53 comma 40053,400 Stroke 128 comma 600128,600 Kidney disease 45 comma 30045,300 Accidents 122 comma 500122,500 Suicide 38 comma 60038,600 About people would be expected to die of cancer each year. (Type a whole number. Round to the nearest person as needed.)
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A drug used to reduce the triglyceride (TG) level in the blood was given to 80 patients for 2 weeks. TG reduction was taken as reading after-reading after for each patient. Reductions are given in the following Table 4.4 9.6 10.4 14.3 6.5 11 14 10.6 7.4 12.9 15.1 6.3 8.7 11.9 15.1 6.5 9.1 10.5 11.8 11.4 10 13.7 14.6 15.7 11 11.8 9.2 9.5 11.9 9.2 16.7 10.8 11.9 8.6 11.6 9.4 12.6 14.5 13.4 9.4 12.8 15.2 12.2 12.4 13 12.6 7 12.2 13.2 13.7 13.4 15 13.8 8.5 14.6 12.5 14.1 13.1 11.9 12.4 15.3 11.1 7.5 15 15.7 11.8 13.5 10.1 16.1 12.1 14.7 12.9 16.7 8.7 9.6 11.3 17.2 14.9 14.2 13.4 B. According to Sturges rule calculate the number of interval and interval width C. Construct Frequency distribution Table that include lower limit, upper limit, mid interval, frequency, %, Relative frequency, cumulative frequency and cumulative relative frequency. D. Make frequency distribution Curve and label each axis. Are the data normally distributed and what is the most frequent reduction
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