17. A manufacturing firm produces LED lamps with a mean lifetime of 900 hrs and standard deviation of 55 hrs. Find the probability that a random sample of 100 lamps will last on the average of more than 915 hrs. (Express your answer in 6 decimal places)

17. A manufacturing firm produces LED lamps with a mean lifetime of 900 hrs and standard deviation of 55 hrs. Find the probability that a random sample of 100 lamps will last on the average of more than 915 hrs. (Express your answer in 6 decimal places)

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: A population of values has an unknown distribution with μ = 109.3 and σ = 47. You intend to draw a…

A: Given that, A population of values has an unknown distribution with mean 109.3 and standard…

Q: Solve step by step in digital format 10.- The results obtained in an exam given to 500 students are…

A: Given data normal distrributionμ = 40σ = 10P(30<x<60) = ?

Q: The process that produces Purple Bars is intended to produce candy bars with a mean weight of 55 gm.…

A: Mean = 55Standard deviation = 0.9n = 59x' = 54.82

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: In a sample of 250 student GPAs, the mean is 3.25 with a standard deviation of 0.22. Use the…

A: From the given information, there are 250 student GPAs with the sample mean 3.25 and the standard…

Q: In a study of the life expectancy of 500 people in a certain geographic region, the mean age at…

A: The mean is 72.0 and the standard deviation is 5.3.

Q: Supposed a number of students are added to an original group of students where all of whose ages are…

A: Standard deviation: σ=xi-x2n

Q: The mean value of the scores in a Statistics exam was 85 with a standard deviation of 4. Find an…

Q: The mean weight of people living in a certain residential area has been 60 Kgs in the recent years.…

A: It is given that the mean weight of people living in a certain residential area has been 60Kg. We…

Q: Assume that a certain bacteria contaminated in a gallon of milk is normally distributed with a mean…

A: Given,mean(μ)=2500standard deviation(σ)=46.3

Q: Use the formula to find the standard error of the distribution of differences in sample means,…

A: The answer is attached below,

Q: The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution…

A: Let X is the amount of time ( in minutes ) that a randomly selected spouse spends shopping for an…

Q: SAT scores in one state is normally distributed with a mean of 1502 and a standard deviation of 176.…

A: Calculator Function:Steps in TI - 83 Calc to find area less than xStep 1: Click 2ndStep 2: Click…

Q: X is a normally distributed variable with a mean of 200 and a standard deviation of 30. What is the…

Q: Pat's z-score on an exam is -1.23. In a normally distributed population with u of 25 how many…

A: Provided information is ; Pat's z-score = -1.23 population mean(μ) = 25 we know that ; z-score…

Q: A simple random sample of six values had mean x = 13.00 and standard deviation s = 7.155. Calculate…

A: Given,

Q: A particular fruit's weights are normally distributed, with a mean of 522 grams and a standard…

A: GivenMean(μ)=522standard deviation(σ)=32sample size(n)=20

Q: A sample of 3000 observations has a mean of 88 and a standard deviation of 13. The distribution is…

A: Solution : Given: n = 3000 samples x¯ = 88 s = 13 For bell…

Q: Assume that the mean systolic blood pressure of normal adults is 120millimetersof mercury (mmHg) and…

A: Here we want to find the given probability using normal distribution.

Q: Suppose a randomly selected sample of n = 36 men has a mean foot length of x = 27.5 cm, and the…

A: Given data: Sample size = 36 Mean = 27.5 cm Sample standard deviation = 2 cm

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105μ=105…

A: Solution: It is given that adults have IQ scores that are normally distributed with a mean of 105…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Given data,μ=866σ=159P(X<862)=?

Q: A distribution of values is normal with a mean of 103.6 and a standard deviation of 63.6. Find P62,…

Q: Average ACT = 540 with a standard deviation of 134. What is the probability that a high school…

A: X~N( μ , ?)μ=540 , ?=134Z-score =( x - μ )/?

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: The mean of the sampling distribution is, μx¯=μ=101 Thus, the mean of the sampling distribution is…

Q: The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption…

A: Given Information : The average American man consumes 9.6 grams of sodium each day. Suppose that…

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

A: Given that body temperatures of adults are normally distributed with a mean of 98.60◦ F and a…

Q: The time needed for university students to complete a quick math test follows a normal distribution…

A: The objective of this question is to perform a hypothesis test to determine whether the mean time to…

Q: scores are randomly distributed with a mean of 100 and a standard deviation of15. If a genius is…

A: Here we want to know score which separate top 1%. That is we find the 99 percentile.

Q: Suppose that in a random sample of 50 well water samples, conducted in particular region of Nova…

A: The sample mean is 0.013.

Q: | Suppose that the readings on the thermometers are normally distributed with a mean of 0° and a…

A: Let X be the readings on the thermometers which follows normal distribution with mean of 0°, and…

Q: runner ran a time for the 100 meter sprint of 15.0 seconds at a school where the mean time for the…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

Q: 3. The length of life of an ordinary flashlight produced by a company has a normal distribution with…

A: Given: μ=36σ=5

Q: The standard deviation for length of stay in a hotel is 7.2 days. For the variable “length of…

A: The standard deviation of the lengths of stays on international cruises is 7.2 days Total Sample =67…

Q: the mean age of a certa population. A sample of

A: As the population standard deviation is known, we will use z distribution. The formula to calculate…

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100μ=100…

A: The probability that a randomly selected adult has in IQ between 84 and 116 is obtained below:Let X…

Q: (b) Based on your sample, enter the lower and upper limits to graph the 95% confidence interval for…

A: It is given that the information of one sample for calculating the confidence interval for normal…

Q: Suppose that IQ scores in 1 region are normally distributed worth a standard deviation of 16.…

A: We have to find population mean.

Q: A population of values has an unknown distribution with μ = 206.2 and σ = random sample of size n =…

A: given data μ = 206.2σ = 76.7n = 77

Q: The time needed for college students to complete a certain paper and pencil maze follows a Normal…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the standard error of the sample mean such that we have 60 random samples with mean 25 and…

A: Sample size(n)=60mean=25standard deviation(s)=13

Q: A distribution of values is normal with a mean of 137.6 and a standard deviation of 55.7. Find P72,…

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A sumple from a normal population with mu = 50 and sigma = 6 of M=48.20, . the sample mean.corresponds to tz = - 1.50 , then how many scores are in the sample?
Use the formula to find the standard error of the distribution of differences in sample means, x⎯⎯1−x⎯⎯2x¯1-x¯2.Samples of size 100 from Population 1 with mean 95 and standard deviation 10 and samples of size 80 from Population 2 with mean 76 and standard deviation 17Round your answer for the standard error to two decimal places.standard error =
Use the formula to find the standard error of the distribution of differences in sample means, ₁ - X₂. Samples of size 105 from Population 1 with mean 86 and standard deviation 13 and samples of size 80 from Population 2 with mean 73 and standard deviation 16 Round your answer for the standard error to two decimal places. standard error =
Mean=126 millimeters and standard deviation=8 millimeters. If random sample of 37 bolts is selected, what is the probability that the sample mean would be less than 128 millimeters?
pls help me and write the solution down on a paper if you can thank you
100 specimens are tested in determining the life cycle of a certain type of crank shaft which is used in a particular brand of car engine. The tests have shown an average life cycle of μ=44 Gc (1 Gc = 1 gigacycles = 109 cycles) and a standard deviation of σ=33x10-1 Gc. 200 hundred thousand cars using that engine have been sold and are on the traffic. After what number of Gigacycles would you expect 7 % of the shafts broken down?
The masses of 250 students are normally distributed with mean 65kg and standard deviation 4kg. Then how many students have masses between 63kg and 73kg.
A doctor believes women have been getting taller. She knows that 10 years ago the average height of women in her city was 63 inches. The standard deviation is unknown. She randomly samples 8 women from the town and finds their average height to be 64.5 inches, the standard deviation was 6.5. state the hypotheses(H0 and H1) What is your conclusion based on α=0.052tail
Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2.Samples of size 115 from Population 1 with mean 94 and standard deviation 14 and samples of size 85 from Population 2 with mean 75 and standard deviation 17Round your answer for the standard error to two decimal places.standard error = Enter your answer in accordance to the question statement
The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 16 minutes. What is average time that takes me to wash the dishes? What is the standard deviation of the time that takes me to wash the dishes?