The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 25 days. Solution If the connector is ever wet, the probability of a failure during the warranty period is 5%. the probability of a failure during the warranty period is 5%. copyright 2003-2023 Homework.Study.com. There is a 5% chance that an electrical storm will occur on, A device has a constant failure rate of 0.7/year. The failure distribution is defined by f(t) = 3 t^2/10^9 0 less than or equal to t less than or equal to 1000 hr. If the connector is ever wet, the probability of a failure during the warranty period is 5%. A) Vertical angles are congruent. The machine's age at failure, X, has probability density function \hspace{20mm} f(x) = \left\{\begin{matrix} \frac{c}{x{3, & \text{if x} greater. Chapter 2, Exercises #123. . Assume that the life of a computer is exponentially distributed (which is a good assumption). D' = electrical connector is not kept dry (i.e., is wet), F = connector fails during warranty period, F' = connector does not fail during warranty period. Determine the probability that a) A co, Livelong, Inc.'s computer monitors have a failure rate of 0.000035 units per hour. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? The probability that at least one is defective. Two components of a minicomputer have the following joint pdf for their times to failure X and Y : f ( x , y ) = { c ( x + y ) e ( x + 2 y ) x 0 a n d y 0 0 o t h e r w i s e What is the probability that the lifetime Y of the second com, The number of failures of a texting instrument from contamination particles on the product is a Poisson random variable with a mean of 0.04 failure per hour. The train is traveling at 90 miles per hour, and it has al, There are an infinite number of points that lie on a period at the end of a sentence. Find the variance for the probability distribu, In a factory, a device that works effectively as good as new during its operating life, has failure rate of 0.008 failures per day.