The light bulbs used in a classroom have an average lifetime of 11,000 hours. Assume thelength of life is approx. normally distributed with standard deviation of 2,000 hours. Thecompany has a guarantees their light bulb will last at least 7,500 hours or they will replaceit for free. At most what percent of light bulb can the company expect to replace underthis warranty? [Please write you answer as a whole percentage]12:40 PM72°F Sunny5/7/2022P Type here to searchinsprt scendpg upf12deletehomeIIfnト>f6f7f812 **米1510&7unulockbackspace89-35%24

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Answered: The light bulbs used in a classroom…

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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Let’s assume that weight is normally distributed with a mean of 160 and a standard deviation of 25 pounds. The middle 80% 0f all people lie between which two weights?
The average driver spends $54 at the gas station each week with a standard deviation of $8. Assuming that the amount a driver spends on gas follows a normal distribution, solve for the percentage of drivers who spend: 1. More than $40? 2. Less than $30? 3. Between $30 and $40
One year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $3. Complete parts (a) through (c) below. Between what two values will the middle 95% of the amounts of cash spent fall?
Juan makes a measurement in a chemistry laboratory and records the result in his lab report. The standard deviation of students lab measurements is o= 8 milligrams. Juan repeats the measurement 2 times and records the mean x of his 2 measurements. What is the standard deviation of Juan's mean result?
If you buy one ticket everyday for 365 days, find the mean and standard deviation for the numbers of winning tickets in such groups of 365 tickets. Round to three decimal places
The average birth weight of elephants is 230 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 50 pounds. Find the birth weight of elephants at the 90th percentile.
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%. How to get and what is the bone density score corresponding to P15 is ?
The average birth weight of elephants is 250 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 40 pounds. Find the birth weight of elephants at the 90th percentile.
A study reported that the mean concentration of ammonium in water wells in the state of Iowa was 0.71 milligram per liter, and the standard deviation was 1.09 milligrams per liter. Is it possible to determine whether these concentrations are approximately normally distributed. If so, say whether they are normally distributed, and explain how you know. If not, describe the additional information you would need to determine whether they are normally distributed.
The IRS claims it takes an average of 3.7 hours to complete a 1040 tax form. Assume the time t the form is normally distributed with a standard deviation of 15 minutes or 0.25 hours. complete Use the Cumulative Z-Score Table to answer the following questions. Write your answer as a percent using 2 decimal places. What percent of people would you expect to complete the form in less than 3.45 hours? What percent of people would you expect to complete the form-in more than 3.45 hours? What percent of people would you expect to complete the form in less than 3.4 hours? What percent of people would you expect to complete the form in more than 3.4 hours? What percent of people would you expect to complete the form between 3.4 and 3.45 hours?
Jerome made a grade of 89.7 on his test. The mean of the test scores was 71.4 with a standard deviation of 6.8. In what top percent can Jerome say he is, based on the tes

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