The life of an electric component has an exponential distribution with a mean of 10 years. What is the probability that a randomly selected one such component has a life more than 3 years? (Round to 4 decimal places)
The life of an electric component has an exponential distribution with a mean of 10 years....
The Life of an electric component has an exponential distribution with a mean of 5 years. What is the probability that a randomly selected one such component has a life less than 5 years? (keep 4 decimal places)
The Life of an electric component has an exponential distribution with a mean of 8 years. What is the probability that a randomly selected one such component has a life less than 5 years? (keep 4 decimal places)
The usable lifetime of a particular electronic component is known to follow an exponential distribution with a mean of 6.6 years. Let X = the usable lifetime of a randomly selected component. (a) The proportion of these components that have a usable lifetime between 5.9 and 8.1 years is . (b) The probability that a randomly selected component will have a usable life more than 7.5 years is . (c) The variance of X is
A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life of 400 hours. What is the probability of the bulb lasting 1) less than 300 hours; 2) more than 500 hours; 3) between 200 and 500 hours?
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 one Tx-991 component has an exponential distribution with average of 2 years. It is considered that a Tx-991 component is defective if it stops working within 1 year. Fifty Tx-991 components are tested, and its noticed that they fail independently. How many of these components are expected to be defective?
The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 16 days. Find the probability that the time between two unplanned shutdowns is a. less than 14 days. b. more than 23 days c. less than 10 days. a-The probability that the time between two unplanned shutdowns is less than 14 days is (Round to four decimal places as needed.) b.The probability that the time between two unplanned shutdowns is more than 23...
5. The life of a type of electric light bulb can be modeled by an exponential distribution with 0.001 (a) What is the average life of this type of light bulb? And determine the probability that a randomly picked light bulb has a life shorter than the average life. (2pt) (b) Determine the probability that a light bulb fails within 1200 hours. (2pt) (c) If 4 bulbs are installed at the same time and work independently in a house, what...
Suppose that the life of an Uphone is an exponential r.v. with mean life of 4 years. Given that the Uphone has lasted 3 years, what is probability that it will last 5 more years?
. 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?