Answered: The life of an electronic controller is…

The life of an electronic controller is distributed lognormally, with the parameters ?′ = 20 and ?′ = 10. Evaluate the probability that a controller will survive up 50 hours and 200 hours.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 3SE: With what kind of exponential model would doubling time be associated? What role does doubling time...

See similar textbooks

Related questions

Q: The lifetime, t, in hours, of an alkaline battery is exponentially distributed with ? = 0.10 per…

A: The lifetime in hours of an alkaline battery is exponentially distributed with λ=0.10 per hour. The…

Q: The life of an electronic controller is distributed lognormally, with the parameters µ' = 20 and =…

A: Given : μ = 20 and σ=10 Log normal distribution

Q: Each observation in the following data set shows a person's income (measured in thousands of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: The lifetime (X) of an alkaline battery is exponentially distributed with λ = 0.08 per hour. A…

A: We have given that X ~ Exponential (λ) λ = 0.08 n = 40

Q: One article states that each one-second delay in loading search results has the effect of…

A: Given that ,P= probability t= time in seconds ,each one-second delay in loading…

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

Q: What are odds? If the probability of failure is 0.30, what are the odds of failure? How would you…

A: Logistic regression is a statistical model that in its basic form uses a logistic function to model…

Q: Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years.…

Q: At the beginning of the COVID-19 pandemic, the virus spread at an exponential rate. The CDC began to…

A: A regression line is used to relate the response variable with the explanatory variable. There are…

Q: Show that for 2 degrees of freedom, the probability P of a value 1 of greater than yo is ex and…

Q: Complete the table** 1) A sample of data is collected (from 1999 and 2000) concerning the…

A: Solution: Given information: n= 1000 observation. k= 6 independent variables p= 7 total number of…

Q: The time-series component that exhibits fluctuations over many years above and below the trend is

A: The time-series component that exhibits fluctuations over many years above and below the trend is…

Q: The duration of residence for households is found to be exponentially distributed with λ = 0.37.…

A: The probability density function of an exponential distribution is as follows:…

Q: Losses have a lognormal distribution with μ=6.9078 and σ=1.5174 Determine the percentage increase in…

A: Given that losses follows lognormal distribution with μ=6.9078 and σ=1.5174.

Q: As a design engineer, you were given the datasheets of 2 power amplifiers. After checking the…

Q: The lifetimes (in months) of two types of lightbulbs are independent Exponential variables with…

A: Let X1 be the lifetime of bulb1 follows Exponential distribution with mean of 1/1.0 and X2 be the…

Q: . The lifetime (x) of an alkaline battery is exponentially distributed with lambda= 0.08 per hour. A…

Q: The population of a city is 150,000. The city declines continuously by 4% per year. ... If this…

A: Given that, Total population is 150,000 and the city declines continuously by 4% per year. To find:…

Q: The number of days that elapse between the beginning of a calendar year and the moment a high-risk…

A: We are told that the distribution is exponential. So, we choose f(x) = ae-ax Where x belongs to [0,…

Q: Suppose the probability π(x) of failing a course as a function of time x spent per week studying…

Q: A certain type of component can be purchased new or used. Fifty percent of all new components last…

A: Lack of Memory Property: The random variable T has Exponential distribution with parameter , and t…

Q: The time it takes to get a seat at a restaurant is exponentially distributed. The value for the…

A: The time it takes to get a seat at a restaurant is exponentially distributed.The value for the…

Q: Find an equation for an exponential function that passes through the pair of points given. (Round…

A: Exponential equation that pair passes through (2, 36) and (4, 324) points

Q: Use a- 0.2 to compute the exponential smootning forecasts for the time seres. Time Series Value Week…

A: Given information: The time series data is given.

Q: Question #4 An administrator at a health care clinic needs to determine staffing levels. The…

A: Given: A healthcare clinic administrator must decide on personnel levels. The administrator has…

Q: In a building, the lifetime of a bulb has an exponential distribution with a mean of 2000 hours. If…

A: Given,A random variable X follows an exponential distribution with a mean of 2000…

Q: The lifetime X of an alkaline battery is exponentially distributed with λ = 0.05 per hour. What is…

A: We have to find given probability.

Q: Suppose you estimate the equation Yit = a +b Xit + eit - Which one of the following statements is…

Q: 1. Each observation in the following data set shows a person's income (measured in thousands of…

A: Odds ratio is usually a measure of association, usually studied in logistic regression. If a subject…

Q: A safety engineer uses simple logistic regression to study the relationship between occupancy years…

A: Introduction: It is required to estimate the odds that a homeowner of 10 years will evacuate, using…

Q: During a professor's office hours, students arrive, on average, every ten minutes. Assume that the…

A: Given During a professor's office hours, students arrive, on average, every ten minutes. Assume that…

Q: For this prediction model, what is the probability of reaching the target from a distance of 49…

Q: The population of a city is 150,000. The city declines continuously by 4% per year. If this trend…

A: We have to find time in year when the city will be losing 3400 people per year.

Q: Since the data obtained as a result of 10 observations of an experiment is ∑ log niXi = 8.2431, what…

A: The geometric mean of this experiment is, G=Antilog∑logniXin=Antilog8.243110=Antilog0.82431≈2.2803

Q: Find an exponential function of the form = ab" whose graph passes through the points (2, 1) and (3,…

A: We have to find an exponential function of the form y=abx whose graph passes through the points…

Q: A rumor is spreading on an island with a population of 50,000 individuals. When the rumor starts to…

Q: Exercise 9. Suppose that the lifespan (in years) of a water heater is modeled as Y~ Expon(mean %D…

A: Exponential model is memory less model so what happened in the past does not matter

Q: The initial value of a building is $986,260. After one year, the value of the building is $936,947.…

Q: My dog just had 3 frisky puppies who jump in and outof their whelping box. A puppy spends an average…

Q: he time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 6…

A: Given that The time it takes a mechanic to change the oil in a car is exponentially distributed…

Q: In a city with a population of 160,000, there are currently 1,000 cases of hepatitis. If the spread…

A: Please see the answer in step 2

Q: The useful life of an electrical component is exponentially distributed with a mean of 1,000 hours.…

A: Let X denotes the useful life of an electrical component and it follows an exponential distribution…

Q: Let grad be a dummy variable for whether a student-athlete at a large university graduates in five…

A: Given model is, grad=-1.17+0.24hsGPA+0.00058SAT+0.0073study Given that hsGPA=3 SAT=1200 The estimate…

Q: A linguist studying the spread of new words and slang observed that the number of daily occurrences…

Question

The life of an electronic controller is distributed lognormally, with the parameters ?′ = 20 and ?′ = 10. Evaluate the probability that a controller will survive up 50 hours and 200 hours.

Expert Solution