The lifetime, t, in hours, of an alkaline battery is exponentially distributed with ? = 0.10 per hour. What is the probability that the battery will last more than 18 hours?

Q: The power reflected from an aircraft received by a radar is described by an exponential…

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

A: Initial value  of building = 986,260 After one year Value = 936,947 Value after three years = ?

Q: Suppose tat the life length of a certain kind of light bulb, after it is installed is exponentially…

A: Given that the lifetime of a certain kind of light bulb, X follows Exponential distribition with…

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: Eastern gray squirrels move around their birth sites to a territorial vacancy. Let X be the distance…

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

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

A: Given , the parameters  μ = 20 and  σ =10

Q: 9. The initial value of a car is $24, 000. After one year, the value of the car is $19,350. What…

A: Given data is : The initial (t=0) value of the car is $24000 After one year t=1 the value of the car…

Q: As a result of testing 20 parts following the exponential distribution for 75 hours, 6 failures…

A: Solution

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

A: exponential function can be represent as below : f(x) = a(b)x

Q: A piece of equipment is being insured against early failure. The time from purchase until failure of…

A: Let us denote T=the time until failure X=the payout Given,

Q: The initial value of a building is $1,456,000. After one year, the value of the building is…

A:

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: Inter-arrival times at a telephone booth are exponential, with an average time of 10 minutes. The…

A: Since you have posted a question with multiple sub-parts, we will solve the first three complete…

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: 3. The initial value of a building is $25,260. After one year, the value of the building is…

A:

Q: If the lifetime (in weeks) of a certain brand of lightbulb has an exponential density function and…

A: Exponential Density is given by, f(x)=ke-kx,  x≥0 and k>0with mean E(X)=1k

Q: 4. The lifetime (X) of an alkaline battery is exponentially distributed with A = 0.05 per hour. A…

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Q: Someone claims that the waiting time, in minutes, between hits at a certain website has the…

A: The random variable X is defined as the waiting time until the next hit. Then X follows exponential…

Q: A company’s annual revenues dropped from £450000 in the year 2005 to £343, 000 in 2008. Assume that…

A: Given,        Revenue in the year 2005 = 450000       Revenue in the year 2008  = 343000

Q: When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands…

A: We have given that  the parameter of an exponential distribution is given as \lambdaλ, which…

Q: The time (in years) after reaching age 60 that it takes an individual to retire is approximately…

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

Q: Which of the following graphs you would recommend log transformation X' =ln[X] to best transform…

A:

Q: A company's annual revenues dropped from £450000 in the year 2005 to £343,000 in 2008. Assume that…

A: A company's annual revenues dropped from £450000 in the year 2005 to £343,000 in 2008. Let the…

Q: suppose that the lifetime of a light bulb is exponentially distributed with mean 2 years. what is…

A: Let X=the lifetime of a light bulb Given that X follows an exponential distribution with mean=2 So,…

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: A particular brand of handheld computers fails following an  exponential distribution with an…

A: Let X be a random variable which denotes the failure. The cumulative density function is F(x)=1-e-λx…

Q: A manufacturer of light bulbs finds thatthe mean lifetime of a bulb is 1200 hours. Assume the life…

A: The exponential decay formula is: y = A(B)^t ................(1) Here, y = 600 A = 1200 B = 1/2 t =…

Q: the moment generating function for the exponential function, f(x) = !! 0, elsewhere Hence show that…

A:

Q: The distance between mutations on a strand of DNA are exponentially distributed with a mean of…

A: Solution: Let X be the distance between mutations on a strand of DNA. From the given information, X…

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

A:

Q: a) Suppose you have a log utility function. Suppose your current wealth W = $300,000. How much would…

A: Given: W= $300000 10% probability of $150000 loss

Q: The lifetime of batteries is Exponential with mean 6. Batteries are sold for $100 each. If a battery…

A: Solution : Given : X : Lifetime of batteries              E(x) = 6 = θ Here X ~ exp ( 1θ ) i.e. X ~…

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: The frequency of earthquakes in an area recorded over time can be modeled using the exponential…

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

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: The annual usage time of the device whose failure time follows the exponential distribution is 1,000…

A:

Q: he time (in minutes) between arrivals of customers to a post office is to be modelled by the…

A: mean= 0.62 Minutes

Q: Suppose that x has an exponential distribution with θ =1.5. Find P(x > 1

A: The probability distribution is given by: f(x) =1.5e(-1.5x)    for x>0