Find the rate parameter. b. Graph the probability density function. c. How likely is it that a cellphone will fail in 4 years
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- The life (in years) of a laptop battery has a probability density function defined by P(x)=12e−x/2 for x in [0,∞). Find the probability that a randomly selected laptop battery will last between 2 and 5 years?A lamp has a lightbulb with an average lifetime of 4 hours. The probability density function for the lifetime of a bulb is f(t)=14e−t/4,t≥0.What is the probability that the bulb will fail within 5 hours?The table below shows an incomplete probability density function for X , the number of imperfections per batch of jeans that just came off a production line. What should the missing probability be? Provide the final answer as a decimal. x P(X = x) 0 0.88 1 0 2
- suppose x has an exponential distribution with probability density function f(x) =2e^-2x, x>0. Then P(X>1)John bought a second-hand car that was driven 16 kilometers (km) from sahibindenmiacaba.com. What is the probability that he will be able to drive this car at least for another 20 km before it has to be salvaged if life of a car (in km) is exponentially distributed with a rate parameter of 1/30? Answer uniformly distributed over (0, 140)? AnswerThe distance, X, between consecutive anomalies on long cable has an exponential distribution with mean 12 meters. Thus, the density of X is:: f(x,?) = ? e−?x for 0 ≤ x ≤ ∞, ? = 1 12 . ? is what R calls rate. d) What is the probability that X is larger than its expected value? e) What is the probability that X is > 13? f) What is the probability that X is > 14?
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