The life expectancy of a fluorescent tube is normally distributed with a mean of 6,050 hoursand a standard deviation of 800 hours. Find the probability that a tube lasts for more than6,850 hours. Use the Empirical Rule.B.Empirical Rule for a Normal DiistributionIn a normal dstribution, approximately68* ofthe data lie within 1 standard deviation of the mean.95% of the data lie within 2 xtandard deviations of the mean.*997% of the data lie within 3 standard deviations of the mean.A nermal dislibuion236%Manf the datithe data

As per given by question, find a probability that a tube lasts for more than 6850 hours when the…

The life expectancy of a fluorescent tube is normally distributed with a mean of 6,050 hou and a standard deviation of 800 hours. Find the probability that a tube lasts for more than 6,850 hours. Use the Empirical Rule.

The life expectancy of a fluorescent tube is normally distributed with a mean of 6,050 hou and a standard deviation of 800 hours. Find the probability that a tube lasts for more than 6,850 hours. Use the Empirical Rule.

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 annual per capita consumption of oranges (in pounds) in the United States can be approximated…

A: It is given that the mean and standard deviation are 19.2 and 4, respectively.

Q: sume that a normal distribution of data has a mean of 24and a standard deviation of 6. Use the…

A: Given that The data is normally distributed with Mean (μ) = 24 Standard deviation (σ) = 6 We know…

Q: A normal distribution has a mean of 120 and a standard deviation of 5. Find the z-score for a data…

A: The objective of this question is to find the z-score for a data value of 119 in a normal…

Q: It takes an average of 14.5 minutes for blood to begin clotting after an injury. An EMT wants to see…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: UPPOSE THE LIFETIMES OF TV TUBES ARE NORMALLY DISTRIBUTED WITH A STANDARD DEVIATION OF 1.1 YEARS.…

A: GIVEN DATA : lifetimes of TV tubes are normally distributed with a standard deviation of 1.1 years…

Q: Systolic blood pressure of males is normally distributed with a mean of 125 mm and a standard…

A: Systolic blood pressure of males is normally distributed with a mean of 125 mm and a standard…

Q: The mean score on a driving exam for a group of driver's education students is 60 points, with a…

A: According to the given information in this question Mean is 60 Standard deviation is 4 K is 2

Q: Assume that the mean systolic blood pressure of normal adults is 125 milliliters of mercury (mL Hg)…

A: Given,mean(μ)=125standard deviation(σ)=5.9sample size(n)=30

Q: From 1776-1800, the average age of first marriage for a male in Western Europe was 26.4 years, with…

A: The question is about normal distributionGiven :Average age of first marriage for males ( ) = 26.4…

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: It takes an average of 11.2 minutes for blood to begin clotting after an injury. average will…

A: Note: As per the guidelines, we are only allowed to solve three subparts, please post the other…

Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

Q: A psychologist finds that the intelligence quotients of a group of patients are normally…

A: According to the provided information,

Q: normal distribution has a mean of 136 and a standard deviation of 4. Find the z-score for a data…

A: given data, normal distribution μ=136σ=4z score for a data value of 132=?

Q: mean number of customers arriving at a restaurant during a 15-minute period is 9. Find the standard…

A: Given that : The mean number of customers arriving at a restaurant during a 15-minute period is 9.…

Q: On a standardized exam, the scores are normally distributed with a mean of 550 and a standard…

Q: Females have pulse rates that are normally distributed with a mean of 74 beats per minute and a…

Q: It takes an average of 10.4 minutes for blood to begin clotting after an injury. An EMT wants to see…

A: Givensample size(n)=67Mean(x)=10.8standard deviation(s)=2.94α=0.05claim is to see if the average…

Q: A normal distribution has a mean of 150 and a standard deviation of 8. Find the z-score for a data…

A: The objective of this question is to find the z-score for a data value of 151 in a normal…

Q: A normal distribution has a mean of 81 and a standard deviation of 4. Find the z-score for a data…

Q: The standard deviation of pulse rates of adult males is less 11 bpm. For a random sample of 128…

Q: It takes an average of 9.1 minutes for blood to begin clotting after an injury. An EMT wants to see…

A: The sample size is .The sample mean is .The sample standard deviation is .The significance level is…

Q: 1. A pair of fair dice is rolled, and the sum of their faces is recorded. The probabilities of each…

A: Standard deviation: The positive square root of mean squares of the deviation taken from the…

Q: ticular fruits weight are normally distributed with a mean of 285 grams and a standard deviation of…

A: According to the sum, A particular fruit weight is normally distributed with a mean of 285 grams and…

Q: Body temperatures of adults are normally distributed with a mean of 98.60 Fahrenheit and a standard…

A: The Z-value of a random variable X is defined as follows: Here, the mean and standard deviation of…

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

Q: A lightbulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the…

A: It is given that the mean and standard deviation are 1,000 and 150, respectively.

Q: It takes an average of 12.7 minutes for blood to begin clotting after an injury. An EMT wants to see…

A: According to policy we supposed to answer only first three part for remaining please repost the…

Q: It takes an average of 14.6 minutes for blood to begin clotting after an injury. An EMT wants to see…

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: Assume that at the average age of a population of wild turtles is normally distributed with mean age…

A: In question, Let X be random variable denoting the age of a population of wild turtles. Given, X ~…

Q: The width of an A4 piece of paper is normally distributed with a mean of 210 mm and a standard…

A: The width of an A4 piece of paper is normally distributed with a mean of 210 mm and a standard…

Q: the average height on the soccer team is 66 inches with a standard deviation of 3. a z score of -1.6…

A: Introduction: Consider X as a normally distributed random variable, with mean μ and standard…

Q: The average age of cars on the road in the United States follows a normal distribution with a mean…

A: The random variable age of car follows normal distribution. The population mean is 11.9. The…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The life expectancy of a fluorescent tube is normally distributed with a mean of 6,050 hours
and a standard deviation of 800 hours. Find the probability that a tube lasts for more than
6,850 hours. Use the Empirical Rule.
B.
Empirical Rule for a Normal Diistribution
In a normal dstribution, approximately
68* ofthe data lie within 1 standard deviation of the mean.
95% of the data lie within 2 xtandard deviations of the mean.
*997% of the data lie within 3 standard deviations of the mean.
A nermal dislibuion
236%
Manf the dati
the data

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

The time it needs a communications worker to arrange a domestic phone call is normally distributed with mean Fifty seconds and a standard deviation of Eight seconds. Find the proportion of times that someone has to wait for more than a minute for the call to be placed.
The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. Find the score that is 2 1/2 standard deviations above the mean.
The scores on a psychology test were normally distributed with a mean of 65 and a standard deviation of 4. Use the Empirical Rule to find the percentage of scores above 69.
The mean IQ score of adults is 100, with a standard deviation of 15. Use the empirical rule to find the percentage of adults with scores between 70 and 130. (Assume the data set has a bell-shaped distribution.)
A normal distribution has a mean of 148 and a standard deviation of 5. Find the z-score for a data value of 136.
The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita of oranges is 19.2 with a standard deviation of 4 pounds. what annual per capita consumption of oranges represents the 5th percentile?
A normal distribution has a mean of 140 and a standard deviation of 7. Find the z-score for a data value of 141.
On a standardized exam, the scores are normally distributed with a mean of 350 and a standard deviation of 20. Find the z-score of a person who scored 400 on the exam.
Assume the random variable X is normally distributed, with mean u= 44 and standard deviationo = 9. Find the 13th percentile.
The sample mean X is to be used to estimate the mean u of a normal distribution with standard deviation 4 inches. How large a sample should be taken in order chat, with 90% probability, the estimate will be in error by at most one-half inch?
Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches. A particular man is 80 inches tall. Find the z-score of his height. (Round to two decimal places.)
Find the ML estimator of the mean and variance from i.i.d. measurements from a normal distribution.