A Christmas tree light has an expected life of 200 hr and a standard deviation of 3 hr. Suppose 190,000 of these Christmas tree lights are used by a large city as part of its Christmas decorations. Estimate the number of lights that will require replacement between 185 and 215 hr of use.

A Christmas tree light has an expected life of 200 hr and a standard deviation of 3 hr. Suppose 190,000 of these Christmas tree lights are used by a large city as part of its Christmas decorations. Estimate the number of lights that will require replacement between 185 and 215 hr of use.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Let X denote the percent of fat calories that a person in America consumes each day is normally…

Q: At wind speeds above 1000 centimeters per second, significant sand-moving events begin to occur sand…

A: The hypotheses are, H0: µ≤1,000 centimeters (The wind speed is less than or equal to 1,000…

Q: The average monthly income for employees at a local company is 2413 with a standard deviation of…

A: Mean()=2413standard deviation()=450Employee makes 1917 per month

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

Q: After a researcher adds 6 points to every score in a sample, the standard deviation is found to be s…

A: The question is about change of origin.Introduction :Change of origin :If a no. is added /…

Q: A data set has a mean of 40 and standard deviation of 8. -2 standard deviation = -1 standard…

A: From the provided information, Mean of the data set (µ) = 40 Standard deviation (σ) = 8 Using…

Q: he average number of Hate Crimes in the United States per year (1991 to 2018) is approximately 7900…

A: Given: Population mean μ=7900 Population standard deviation σ=1200 X ~ N (7900, 12002 )

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: A manufacturer of calculator batteries claims that the mean length of life for its battery is 500…

A: The empirical graph is, The random variable X is defined as the length of life for its battery. The…

Q: The waiting time for a customer in line at the county recorder's office is exponentially distributed…

A: The question is about exponential distribution Introduction : If X is a continuous r.v which follows…

Q: On a recent calculus exam, a class mean was 75 with a standard deviation of 3.4. Calculate the…

A: From the provided information, Mean (µ) = 75 Standard deviation (σ) = 3.4 Let X be a random variable…

Q: The mean of electrical energy consumption amounts for a home during a two-month period is 2417…

A: Given information Mean µ = 2417 kWh Standard deviation σ = 521 kWh Using Range Rule of thumb Minimum…

Q: At a hair salon, customers arrive at the rate of 3 customers per hour. The standard deviation of the…

A: Standard Deviation: A standard deviation is a unit of measure of data spread in proportion to the…

Q: The lifetime of a light bulb is normally distributed with an average life of 500 hours and a…

A: Define the Random Variable, X : Life time of a light bulb. Given that , X ~ N(500,1002 ) So, Z = X…

Q: c. Find the minimum number for the upper quarter of percent of fat calories.

A: The mean is 38 and the standard deviation is 10.

Q: Suppose that pulse rates among healthy adults are normally distributed with a mean of 80 beats…

A: Given data Normal distribution μ = 80σ= 10P(x≤72) = ?

Q: The human population has a mean IQ score of µ = 100 and a standard deviation of σ = 15. Find the…

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

Q: During 1 week an overnight delivery company found that the weights of its parcels were normally 20oz…

A: According to the given information, During 1 week of an overnight delivery company found that weight…

Q: Provide the null and alternative hypotheses used to address these problems. Make sure that your…

A: It is needed to find the null and alternative hypotheses.

Q: A data set has a mean of 40 and standard deviation of 8. -2 standard deviation = -1 standard…

A: It is given that the mean is 40 and the standard deviation is 8.

Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30.…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1030 h with a…

Q: The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5…

A: Solution: Let X be the age of senator. From the given information,

Q: A nutritionist claims that the mean tuna consumption by a person is 6 pounds per year. A sample of…

Q: A group of migraine headache sufferers were tracked over their lifetimes with data taken every 10…

A: Regression is used to predict future information based on the available previous information. When…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The Michelin tires in average will last for 60000 miles. A technician claims that the deviation of mileage for wearied off tires is 25000 miles. If 16 such tires are tested, find the probability that for those tires the average wearied off mileage is between 55000 and 65000 miles.
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 99% confident that your sample mean is within 20 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 129 min. show formulas and draw all curves.
How to find the standard deviation after we have found the range?
The largest error occurs when p =
The average person owns about 175 music cds. The standard deviation is about 37 music cds. If Tori has 186 music cds, what is her collection's z-score. Show your work and round your answer to the nearest thousandth. Use the paperclip button below to attach files. Student can enter max 3500 characters BIUE earch 73°F Sunny ^ F3 F4 FS F6 F7 F9 コ F10 F11 F12 Prt Sc Insert Del %23 24 & 大 3 7\ 8 Backspace E R T. Y U P F K L Enter Alt Ctrl
In a recent year, grade 6 Ohio State public school students taking a mathematics assessment test had a mean score of 303.1 with a standard deviation of 36. Possible test scores could range from 0 to 1000. Assume that the scores were normally distributed. This is not a normal approximation, so do not correct for continuity. Find the probability that a student had a score higher than 295. Find the probability that a student had a score between 230 and 305. What is the highest score that would still place a student in the bottom 16% of the scores? If 4000 students are randomly selected, how many will have a test score that is less than 300? A random sample of 40 students is drawn from this population. What is the probability that the mean test score is greater than 290?
From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of the age when smokers first start to smoke remains constant at around 2.1 years. The American Lung Association claims that the mean age when smokers first start to smoke is at least 17. A survey of 40 randomly selected smokers of this generation was done and it was found that the mean age when smokers first started to smoke was 18.1. Is there enough evidence to reject the claim? Describe what a Type I error is for this situation. Describe what a Type II error is for this situation.
A critical communications relay has a constant failure rate of 0.1 per day. Once it has failed, the mean time to repair is 2.5 days (the repair rate is constant). Calculate the interval availability over a 2-day mission (starting at time zero) and the point availability at the end of the 2 days.