The duration of a lunch break for one employee at a manufacturing company follows a normal distribution with mean u minutes and standard deviation 5 minutes. The probability that a lunch break last for more than 52 minutes is 0.25.find value of u

The duration of a lunch break for one employee at a manufacturing company follows a normal distribution with mean u minutes and standard deviation 5 minutes. The probability that a lunch break last for more than 52 minutes is 0.25.find value of u

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 time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Solution

Q: A distribution of values is normal with a mean of 61.9 and a standard deviation of 59.3. Find the…

A: The distribution of X follows the normal distribution with mean of 61.9 and standard deviation of…

Q: State the properties of s normal distribution.

A: Normal distribution- when mean is 0 and standard deviation is 1 is called standard normal…

Q: A particular fruit's weights are normally distributed, with a mean of 513 grams and a standard…

A: The population mean is 513. The population standard deviation is 18. The sample size is 22. We have…

Q: IQ scores are known to be normally distributed with a mean of 100 and a standard deviation of 15.…

A: GivenMean(μ)=100standard deviation(σ)=15sample size(n)=100

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 time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: According to the given information, we have Mean = 5 minutes Standard deviation = 1 minutes

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 life of a vacuum cleaner is normally distributed with a mean of 2.0 years and a standard…

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

Q: Recently, it was found that the length of months that cell phones last is 24.42 months, with a…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

Q: The life of a component is normally distributed with mean 800 days and standard deviation 100 days.…

Q: A distribution of values is normal with a mean of 189.6 and a standard deviation of 68.6. Find the…

A: Refer to Standard normal table/Z-table to find the probability of z= 1.5.ORUse excel formula…

Q: The time it takes to drive through the middle of campus follows a uniform distribution with a…

Q: The daily income of bank auditor in a certain commercial bank is normally distributed with a mean of…

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: The overhead reach distances of adult females are normally distributed with a mean of 38 cm and a…

A: GivenMean(μ)=38standard deviation(σ)=12

Q: A Biologist has studied a particular tropical insect and she discovered that its life span is…

A: The mean is 72 and the standard deviation is 8.

Q: The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: Mean == 80Standard deviation = 6n = 16s = 6/√16 = 1.5Levels of significance = 1 - 0.05 = 0.95 or…

Q: The lifespan of a certain insect is believed to follow a normal distribution

A: Life span = X and follows normal with μ=98 and σ=7 We know that (x-μ)/σ follows N(0,1) so,…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Mean=M=6, Standard deviation=S=3X~N(M=6, S=3)

Q: An electrical firm manufactures light bulbs that have a life, before burn-out, thatis normally…

Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.

Q: The time until recharge for a battery in a laptop computer under common conditions is normally…

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

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7…

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: ular steel plate used in constructions has a normal distribution with a mean

A: Given: μ=80, σ=9 The corresponding z-value needed to be computed:

Q: A nutritionist asks a client to record the number of calories he consumes each day for 6 months. The…

Q: he level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: Given Data: Mean (μ)=85 Standard deviation (σ)=6 Variance (σ2)=36 Sample size(n)=16 Let X be the…

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: Assume that the time that will be taken to complete this assignment is a random variable with a…

A: Mean = 8 Standard deviation = 1

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

Q: What is the probability that a randomly selected book has fewer than 141 pages if the mean is 193…

A: Given that The mean= 193 The standard deviation = 26 To find the probability that a randomly…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: Here, mean is 5 and standard deviation is 3. We will use z-standard normal distribution.

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 37 hours…

A: Answer: From the given data, mean (μ) = 515 Standard deviation(σ) = 37 X~ Norma distribution(μ,σ)

Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 4…

A: Given that μ=4σ=9

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 37…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 4…

A: According to the given information in this question We need to find the probability that a person…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 99.9 and a standard…

A: Given that, Mean = 99.9 Standard deviation = 24.5

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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

SEE SOLUTION Check out a sample Q&A here

Similar questions

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.
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 550 Find the probability of a bulb lasting for at least 605 hours (round your answer to four decimal places)
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3 years, and standard deviation of 0.8 years. If you randomly purchase 3 items, what is the probability that their mean life will be longer than 12 years? Use GeoGebra. Round to 4 places.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability that the applicant's rating will be between 205 and 275. (Round your answer to 4 decimal places.)
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.5 years, and standard deviation of 0.5 years. If you randomly purchase 20 items, what is the probability that their mean life will be longer than 12 years? Round your probability to 4 decimals. Showing work is REQUIRED. Add Work
The amount of time taken by a bank teller to serve a randomly selected customer has a normal distribution with a mean of 2 minutes and a standard deviation of 0.5 minutes. Find the probability that both of two randomly selected customers will take less than 3.5 minutes each to be served. Round to 4 decimal places
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.
The weight of a type of dog follows Normal distribution with mean of 10 pounds and standard deviation of 2 pounds What is the probability a dog of this type will weigh more than 14 pounds?
Assume that children's IQs (Age 6-12) follow a normal distribution with mean 100 and standard deviation of 12. Find the probability that a randomly selected child has IQ above 118.
The life of a component is normally distributed with mean 800 days and standard deviation 100 days. What is the probability of the component still working after 1000 days?
A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last more than five (5) years.
The vacation leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. 1. Find the probability that the vacation – leave time of an employee in a month exceeds 180 hours.