Answered: Assuming the life times of different…

Assuming the life times of different bulbs are independent, approximate the probability that the stock of lightbulbs will last the next 350weeks.

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: The time that elapses between failures of an essential piece of equipment is important in deciding…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be…

Q: A particular fruit's weights are normally distributed, with a mean of 768 grams and a standard…

A: Given, let X be the weight of fruits. The mean weight of the fruit’s is The standard deviation of…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010 Chevrolet…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: Five hundred children participated in a field demonstration. Their heights averaged 110cm with a…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010…

Q: Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally…

A: The problem provides us with the following values:Mean (μ) = 1100 hoursStandard deviation (σ) = 50…

Q: A particular fruit's weights are normally distributed, with a mean of 783 grams and a standard…

A: It is given that the mean is 783 and the standard deviation is 24.

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: Assume the standard deviation is 40000 dollars. Suppose you take a simple random sample of 53…

Q: A certain computer spare part has an average life of 400 days with a standard deviation of 10 days.…

A: The mean and standard deviation are 400 and 10 respectively.

Q: A particular fruit's weights are normally distributed, with a mean of 571 grams and a standard…

A: The random variable is fruit’s weight. It follows standard normal distribution. The population mean…

Q: The average number of miles driven on a full tank of gas in a certain model car before its low-fuel…

A: It is given that the mean is 399 and the standard deviation is 36.

Q: A particular fruit's weights are normally distributed, with a mean of 582 grams and a standard…

A: Obtain the standard z-score for the random variable X equals 548. The standard z-score for the…

Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…

A: Given Population mean = 36miles Population standard deviation =5

Q: An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute).…

A: Let X denotes the printing speed of printer Population mean =17.57 Standard deviation =3…

Q: A detergent company finds that a family in the country washes an average of 910 kilograms of clothes…

A: We have given that, Let X be the random variable from normal distribution with mean (x̄) = 910 and…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: There is a large supply of light bulbs with the average life of 900 hours and the standard deviation…

A: It is given that the mean is 900 hours and the standard deviation is 60 hours.

Q: Suppose the horses in a large stable have a mean weight of 1354 lbs and a standard deviation of 98.…

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

Q: A detergent company finds that a family in the country washes an average of 910 kilograms of clothes…

A: Given that: X is normal Distributed with mean µ = 910.0 and standard deviation σ = 85.0 By using…

Q: the life of a certain brand of car stereo is normally distributed with a mean of 5.2 years and a…

A: According to the given information in this question, we need to find the following probability

Q: The average age of a vehicle registered in the United States is 8 years, or 96 months. If a random…

A: Mean()=8 years=96 monthsstandard deviation()=15

Q: You obtained IMDB scores of all movies and see that they are normally distributed with a mean of 6.7…

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

Q: on the average, it takes Hans solo 45 seconds to check the coordinates and make the jump into…

A: Given that: Population mean, μ=45 Population standard deviation, σ=5

Q: Each month, a public market in Batangas generates an average of 30 pounds of plastic for garbage or…

A: Mean(µ) = 30Standard deviations (σ) = 4X ~ N (µ, σ )= N (30, 4)

Q: A life of a Radio Shack record player is normally distributed with a mean of 3.3 years and a SD of…

A: mean of 3.3 years and a SD of 0.8 years

Q: Suppose the average weight of a male US resident aged 20 to 30 years is 160 pounds with a standard…

Q: will apply for graduate school. If the population standard deviation is 10 and the sample size is…

A: Given that Population proportion p=25%=0.25 Sample size n =100

Q: A particular fruit's weights are normally distributed, with a mean of 452 grams and a standard…

A: Given: μ = 452 σ = 24 Thus, X ~ N(μ = 452, σ = 24) The probability that a randomly selected fruit…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2…

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

Q: dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled,…

A: Let X be the random variable from normal distribution with mean (μ) = 93.2° F and standard deviation…

Q: The life of a vacuum cleaner is normally disyributed with mean 5 years and standard deviation 2…

Q: The lifespan of EEL light bulbs is a random variable obeying a normal law. Lifetime average of these…

A: The lifespan of EEL light bulbs is a random variable obeying a normal law. The lifetimeaverage of…

Q: Suppose that a brand of lightbulb lasts on average 1690 hours with a standard deviation of 194…

A: Let X= the life of a lightbulb Given that X follows a normal distribution with mean=1690 and…

Question

A coastguard station has a stock of 40 extra luminescent bulbs to maintain the light in a lighthouse. The lifetime of such a bulb is a random variable with a mean of 8 weeks and a standard deviation of 5 weeks. Assuming the life times of different bulbs are independent, approximate the probability that the stock of lightbulbs will last the next 350weeks.

Video Video

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: Determine the given data in the question

VIEW

Step 2: Calculating the Normal probability

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A report claimed that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assuming the variable is normally distributed and the standard deviation is 3 hours. If 40 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.
Suppose that unknown to a geneticist, there are 6 out of 12 genes that play a significant role in developing skin cancer. If the geneticist randomly samples 5 of these 12 genes and studies them, the probability that he will have sampled more than 4 skin cancer related genes is Note: Provide your answer in three decimal points e.g. 0.001
An electrical firm manufactures light bulbs that have a life, before burn-out, thatis normally distributed with mean equal to 800 hours and a standard deviation of40 hours. a. Set up the required equations in order to formulate your solution to theproblem. b. Find the probability that a bulb burns between 778 and 834 hours.
The average speed of cars on 495 is 74 mph with a standard deviation of 6. What is the probability that a car will be traveling at least 76 mph
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 185000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 59 graduates.Find the probability that a single randomly selected salary is at most 187000 dollars. Answer = Find the probability that a sample of size n=59n=59 is randomly selected with a mean that is at most 187000 dollars. Answer = Enter your answers as numbers accurate to 4 decimal places.
The downtime per day for a certain computing facility has averaged 4.0 hours and a standard deviation of 1.98 for the last year. Find the probability that the average daily downtime for a period of 20 days is between 1 and 5 hours.
A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume a is 0.02. P(Type II Error) =
Alfie Solomons owns a rum distillery. On average, he produces 100 liters of rum with a standard deviation of 18 liters. What is the probability of producing an average of 90 liters of rum or more over the course of 9 days?
A population has an average of 125 and a standard deviation of 15. Calculate the probability that in a sample of size 75, the sample mean is greater than 130.
A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.
Each month, an American household generates an average of 28 pounds of garbage. Assume the standard deviation is 2.5 pounds. If a household is selected at random, find the probability of the following: A household averaging between 27 and 31 pounds per month (5) A household averaging more than 30.2 pounds per month A street with 25 houses averaging more than 30 pounds per month.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?