. Suppose the time until failure (in years) of a laptop computer follows an exponential distribution...
. Suppose the time until failure (in years) of a laptop computer follows an exponential distribution with a mean life of 6 years.
a) What is the median life of a laptop computer (in
years)?
b) What is the probability that a laptop computer will last more
than 6 years?
Homework Answers
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. Suppose the time until failure (in years) of a laptop computer
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5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution w...
5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution with mean 1.75 hours. Assume independent of each other. (a) Determine the probability that Isabel finishes in less than 1 hour ollows an on the same exam that their times are (b) Determine the probability that Javier finishes in less than 1 hour.
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The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 200 minutes and a standard deviation of 60 minutes. What is the probability that a battery lasts more than 3 hours?
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Suppose that the time to failure (in hours) of hard drives in a personal computer can be modelled by an exponential distribution with λ = 0.003. Use Monte Carlo simulation, or otherwise, to approximate the following: Assume a computer now has 4 independent hard-drives and the failure of the computer occurs once all 4 hard drives have died. What is the mean life of the computer?
The time to failure of a component in an electronic device has an exponential distribution with...
The time to failure of a component in an electronic device has an exponential distribution with a mean of 7 hours. Calculate the median time to failure. Round answer to 3 decimal places
The life of automobile voltage regulators follows an exponential distribution with an average of 6 years....
The life of automobile voltage regulators follows an exponential distribution with an average of 6 years. You buy a car with 6 years of use, with a voltage regulator that is functional, and plan to stay with the vehicle for an additional 6 years. a) What is the probability that the voltage regulator will fail during the time that you kept the car? b) If the regulator fails 3 years after you bought the vehicle and it is replaced, what...
3. The time to failure (Y , measured in hours) of fans in a laptop computer...
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QUESTION 6 The time to failure (in hours) of fans in a personal computer can be...
QUESTION 6 The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with rate 0.0005. Round your answers to 4 decimal places. (a) What proportion of fans will last at least 10000 hours? (b) What proportion of fans will last at most 8000 hours? QUESTION 7 Given the probability density function f(x)=(0.02^9 x^8*e^(-0.02x))/8! for x>0 and f(x)=0 otherwise. Determine the mean and variance of the distribution. Round the answers to the...
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with...
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. a) Write the probability density function and the cumulative probability distribution b) What is the probability that the arrival time between vehicles is 12 seconds or less? c) What is the probability that the arrival time between vehicles is 6 seconds or less? d) What is the probability of 30 or more seconds between vehicle arrivals?
5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution with mean 1.75 hours. Assume independent of each other. (a) Determine the probability that Isabel finishes in less than 1 hour ollows an on the same exam that their times are (b) Determine the probability that Javier finishes in less than 1 hour.
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The time to failure of a component in an electronic device has an exponential distribution with a mean of 7 hours. Calculate the median time to failure. Round answer to 3 decimal places
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