1. A water pump in a 3 series BMW has an expected lifetime or 100,000 miles. The water pump in Jack’s BMW is still original at 150,000 miles. What is the probability it will make it to 200,000 miles if the distribution of its lifetime is Weibull with β = 2?
1. A water pump in a 3 series BMW has an expected lifetime or 100,000 miles....
The lifetime of a product can be modeled with a Weibull distribution with δ = 22 and β = 3. a. What is the expected lifetime of the product? b. What is the standard deviation of the product? c. The product costs $15,543 dollars to produce, but is expected to save $1,115 in costs for each year that it functions as advertised. Considering the initial cost, what is the expected savings in costs for this product? d. What is the...
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3. Compute the following.
The lifetime, in years, of a certain type of pump is a random variable with probability density function x 20 (x+1) 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find the...
x 20 The lifetime, in years, of a certain type of pump is a random variable with probability density function 3 (x+1)+ 0 True (Note: “True" means “Otherwise” or “Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find...
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3.Compute the following. (Round your answers to three decimal places.)
Problem No. 6.4 / 10 pes. The lifetime, in years of a certain type of pump is a random variable with probability density function .x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the...
Suppose the random variable X represents the time to failure (in thousands of miles driven) of the signal lights on an automobile, and that X has a Weibull distribution with alpha = .0125 and Beta = 2/3. A) What is the probability that the signal lights function for at least 20,000 miles? B) For how many miles can the signal lights be expected to last? s. Suppose the random variable represents the time to failure (in thousands of miles driven)...
RANU 10 pts. Problem No. 6.4 The lifetime, in years, of a certain type of pump is a random variable with probability density function (x+1)* x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of...
The lifetime, in years, of a gearbox operating continuously has a Weibull distribution with λ = 0.1 and k = 2. The purchase price of the gearbox is $1000. The manufacturer warranties the gearbox of (a) refunding the entire purchase price if the gearbox fails during its first year of operation, and (b) refunding 40% of the purchase price if the gearbox fails during its second year of operation. What is the expected refund amount per gearbox?
1) The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard deviation 30. (a) Find the probability that the serum cholesterol level of a randomly chosen 14-year-old boy exceeds 230. (b) In a middle school there are 300 14-year-old boys. Find the probability that at least 8 boys have a serum cholesterol level that exceeds 230. 2) Suppose that the service life, in years, of a hearing aid battery is a random...