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: 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: Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and standard…

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

A: We have given that, X be the random variable from standard normal distribution with mean (μ) = 0°C…

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: how much will the probability that the students are aged above 15 years old change?

Q: If a female is randomly selected, find the probability that her pulse rate is between 69 beats per…

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

A: Given information-We have given that adults have IQ scores that are normally distributed.μ= 105σ =…

Q: The average cholesterol content of a certain brand of eggs is 225 milligrams, and the standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Obtain the Z-score for the random variable X equals 129. The Z-score for the random variable X…

Q: Find the probability that 1 man has weight greater than 160 lb. Assume that weights of males are…

A: Let X represent the random variable Mean=182.9 SD=40.8 X~ Normal (182.9, 40.82)

Q: Below is a 6 x 8 array containing the ages of moviegoers. Treat this as a population. 34 33 12 13 58…

A: We have given the population of ages of moviegoers And we want to find the proportion of all 48…

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: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean…

A: Given information- Population mean, µ = 570 hours Population variance, σ2 = 625 So, Population…

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: 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: The average time a person spends shopping in a grocery store is 43 minutes. If the time is normally…

A: Given: The average time a person spends shopping in a grocery store is 43 minutes. The time is…

Q: The average length of crocodiles in a swamp is 11 feet. If the lengths are normally distributed with…

A: Given: μ = 11 σ = 1.5 Formula Used: Z = X-μσ

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: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…

A: Given data,Mean μ=50sd σ=10P(X<44)=?

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 net weight of a can of salmon is a random variable with a mean of 6.21 ounces and a standard…

A: Solution

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…

A: The probability of a bulb lasting for at most 540 hours is calculated below:

Q: Suppose the distributions of arrival and service times were normal instead of exponential. Let the…

A: The objective of this question is to estimate the long-run average number of people that would be in…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard…

A: The standard normal variable Z is defined as, Z = (X – µ)/σ, where µ is the mean of the random…

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: Denote X as the life of a randomly selected light bulb.

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: 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: The life of light bulbs is distributed normally. The variance of the lifetime is 225225 and the mean…

A: Given that variance = 225, mean = 590 Find the probability of a bulb lasting for at most 607?

Q: Assume females have pulse rates that are normally distributed with a mean of 72 beats per minute and…

A: Given that: Mean = 72 beats S. D. = 12.5 beats Sample size (n) = 25 By using standard normal…

Q: goods

A: Let X be the random variable such that cholesterol content of a certain canned goods. The average…

Q: The green turtle migrates across the Southern Atlantic in the winter, swimming great distances. A…

A: X~N( μ , ?) μ=2200 , ?=625 Z-score =( x - μ )/?

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

A: Given Data Population Mean,μ = 0 Population Standard Deviation,σ = 1

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean…

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

Q: find the probability that the mean time of a sample of 15 Americans who shower will be less than 12…

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

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

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

The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places
Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)
A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes, with a standard deviation of 3.80 minutes. Find the probability that 2 of the next 3 trips will take at least 1/2 hour. Choices: a. 0.3974 b. 0.0571 c. 0.0092 d. 0.0004
Suppose that a brand of lightbulb lasts on average 1690 hours with a standard deviation of 194 hours. Assume the life of the lightbulb is normally distributed. Calculate the probability that a particular bulb will last from 1418 to 2183 hours?
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability that the reading is between 1.5°C and 1.71°C.
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
A certain brand of car tends to break down on average after 115,000miles with a standard deviation of 4800 miles. If 36 cars of this brand are sampled,find the probability that their average breakdown mileage is less than 113,500miles. a. 0.0301 b. 0.3783 c. 0.6217 d. 0.9699
A population has a mean of 80 and a standard deviation of 7. A sample of 49 survey will be taken. The probability that the sample mean will be larger than 82 is
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 a mean of 90 and a standard deviation of 10. A sample of 100 observations will be taken. The probability that the mean from that sample will be less than 92 is
The life of light bulbs is distributed normally. the standard deviation of the lifetime is 29 hours and the mean lifetime of a bulb is 590. Find the probability of a bulb lasting for at most 608 hours (round your answer to four decimal places)
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)