Laptops produced by a company QWE last an average of 5 years. The lifespan of each follows an exponential distribution. a. What is the probability that a laptop will last less than 3 years? (10 pts) b. What is the probability that a laptop will last more than 10 years? (10 pts) c. What is the probability that a laptop will last between 4 and 7 years? (10 pts) d. What is the median of the problem? (5 pts)
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The exponential distribution has a probability density function given by f(x) = λe^(-λx) for x ≥ 0, where λ = 1/mean. In this case, λ = 1/5 = 0.2. The cumulative distribution function (CDF), which gives the probability that a random variable is less than or equal Show more…
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Laptops produced by a company last on an average of 5 years. The life span of each laptop follows an exponential distribution. (6). What is the probability that a laptop will last in less than 3 years? (7). What is the probability that a laptop will have the life span at least 10 years? (8). How many laptops from 1000, would be expected to work between 4 and 7 years? (Choose the nearest integer).
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