2 A company manufactures floor tiles of mean length 20 cm with standard deviation 0.2 cm. Assuming the distribution of the lengths of the tiles is normal, find the probability that, when 12 randomly selected floor tiles are laid in a row, their total length exceeds 241 cm.

2 A company manufactures floor tiles of mean length 20 cm with standard deviation 0.2 cm. Assuming the distribution of the lengths of the tiles is normal, find the probability that, when 12 randomly selected floor tiles are laid in a row, their total length exceeds 241 cm.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

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: find the probability that their lengths of pregnancy have a mean that is less than 260 days.

A: Let M denote the mean length of pregnancies for the same of size n = 25.

Q: The length of a manufactured pole is normally distributed with a mean of 530 cm and a standard…

A: Given that, Mean = 530 Standard deviation = 15

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

A: The lasting duration of lightbulb is normally distributed with mean 1000 hours and standard…

Q: Assume that the height of people, measured in inches, has a normal distribution with a mean of 65…

Q: The braking distances of a Honda CRV can be approximated by a normal distribution, where the mean is…

Q: The height of the students in a class shows normal distribution. Students in this class have an…

A: We have to find givén probability..

Q: The percent of fat calories that a person in a city consumes daily is normally distributed with a…

Q: The average starting salary for a data analyst is Php 40,000 and a standard deviation of 5,000. A…

Q: A quart of Parker's milk contains a mean of 42 grams of butterfat, with a standard deviation of 2.5…

Q: The life, in hours, of a battery produced by company A has a normal distribution with mean 20 and…

A: Introduction: Denote the random variable representing the life (hours) of a randomly selected…

Q: The temperature of heated water is in a coffeemaker is a continuous random variable that follows a…

Q: A Run is a 5 kilometer race. The time taken for each runner to complete the race was recorded and…

A: A Run is a 5 kilometer race.Mean Time =28 MinutesStandard deviation =5 Minutes We have to find the…

Q: The braking distances of a Honda CRV can be approximated by a normal distribution, where the mean is…

A: GivenMean(μ)=53standard deviation(σ)=3.8

Q: The length of a manufactured pole is normally distributed with a mean of 530 cm and a standard…

Q: There is a 5k race, time was normally distributed with a mean of 28 minutes and a sd of 5 minutes.…

A: It is given thatMean, μ = 28Standard deviation, σ = 5Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: mean equal to 800MPA and a standard deviation of 40 MPa before it reaches yielding. Find the…

A: Random variable: A random variable X is a real number that describes the outcome of the random…

Q: If the length of a sheet follows normal distribution with mean 500 m and standard deviation with 50…

Q: The height of the dogs in a pet shop is normally distributed with the average height of 25 cm and…

A: The data is normally distributed. Population mean is μ=25. Population standard deviation is σ=15.

Q: At a large manufacturing company the mean age of workers is 37 years, and the standard deviation is…

Q: The weights of coconuts from a plantation have mean 3 and standard deviation 1 (pounds). Fifty…

A: GIVEN DATA μ = 3σ = 1n = 50 P(∑x>165) = ?

Q: The lengths of pregnancies of humans are normally distributed with a mean of 265 days and a standard…

A: Given mean(μ)=265standard deviation(σ)=15

Q: If the length of a sheet follows normal distribution with mean 500 m and standard deviation with 50…

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

Q: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

A: Given Data Population Mean,μ = 0.45 Population Standard Deviation,σ = 0.05

Q: According to the records of an electric company serving the Boston area, the mean electricity…

A: The mean and standard deviation are 1650 and 320, respectively.

Q: The normal model applies to the productivity of all workers at a factory, with a mean of 75 units…

Q: A nurse found that the lengths of babies in a hospital have a normal distribution with mean u and…

Q: The compressive strength of cement samples can be modelled by a normal distribution with a mean of…

A: The mean of the compressive strength is 25+6000 kilograms/m2. The standard deviation of the…

Q: The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation…

A: Let x denote the length of pregnancies. Given that the lengths of pregnancies are normally…

Q: The standard deviation of the lengths of stays on international cruises is 7.3 days. The sampling…

A: The standard deviation of the lengths of stays on international cruises is 7.3 days Total Sample =70…

Q: In a group of 20 health insurance policyholders diagnosed with cancer, each policyholder has…

A: Variance is the measure of dispersion. It is calculated by taking square deviation of each…

Q: Assume that females have pulse rates that are normally distributed with a mean of u=74.0 beats per…

A: Mean = 74.0 Standard deviation = 12.5 Sample size =

Q: In an experiment designed to test the output levels of three different treatments, the following…

A: Error sum of squares=Total sum of squares-Treatment sum of squares…

Q: In a certain factory average length of products is 26 cm and standard deviation is 6 cm.…

A: Given Information: Distribution of lengths of products in a certain factory is assumed to be normal.…

Q: The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard…

A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

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: A plane's consumption of gas is normally distributed. Assume the mean is 250 L per day and the…

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

A: Given: μ=0σ=1 The probability of obtaining a reading between -1.24°C and 0°C is obtained as below:…

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

2 A company manufactures floor tiles of mean length 20 cm with standard
deviation 0.2 cm. Assuming the distribution of the lengths of the tiles is
normal, find the probability that, when 12 randomly selected floor tiles are
laid in a row, their total length exceeds 241 cm.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

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, statistics and related others by exploring similar questions and additional content below.

Similar questions

The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60000 miles and a standard deviation of 1400 miles. What is the probability that the average life of 4 tires is greater than 58,600 miles?
The lengths of pregnancies of humans are normally distributed with a mean of 238 days and a standard deviation of 13 days. Find the probability of a pregnancy lasting less than 220 days.
There is a large supply of light bulbs with the average life of 1000 hours and the standard deviation of 50 hours. A light bulb is drawn at random. Find the probability that it will last more than 1020 hours. A random sample of 25 light bulbs is drawn. Find the probability that the sample average life is more than 1020 hours.
The length of time it takes to find a parking space is normally distributed with a mean of eight minutes and a standard deviation of two minutes. Find the probability that it takes at most five minutes to find a parking space?
The height of a male student is a random variable with a normal distribution with mean = 174.5cm and standard deviation = 6.75 cm. What is the probability that a randomly chosen student has a height of more than 188.3 cm?
The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a standarddeviation of 7.9 lb a. If I randomly select a barrel, what is the probability that it will be heavier than 50 lb, (and I’ll havetrouble lifting it)? Use formula/chart.
The time it takes to produce a product in a factory is known To follow a normal distribution with a mean of 470 seconds and a standard deviation of 60 seconds. what is the probability that a randomly selected product from the factory will take less than 432 seconds to produce
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 20 days. If 64 women are randomly selected find the probability that they have a mean pregnancy between 266 days and 268 days
Birthweight at a hospital were reported to have a mean of 3668 grams (g) and a standard deviation of 511 g. These birthweights are normally distributed. Find the probability that a single baby's birth weight was less than 4000 g.
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.71°C.
The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If the variable is normally distributed, what is the probability that a randomly selected town will have a homicide rate greater than 8?
Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.