Arope factory produces ropes that have been measured to be able to lift 500 pounds, with a standard deviation of 6 pounds. one monday, the quality department measures the strength of 30 ropes, and finds them to have an average of 480 pounds with a standard deviation of 1 pound. if the plant only ships production that it is 99% sure is able to lift 500 pounds, what does it do with monday’s production?

The weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to ac voltage. the values of the parameters depend on the voltage and temperature; suppose α = 2.5 and β = 190. (a) what is the probability that a specimen's lifetime is at most 250? less than 250? more than 300? (round your answers to four decimal places.) at most 250 less than 250 more than 300 (b) what is the probability that a specimen's lifetime is between 100 and 250? (round your answer to four decimal places.) (c) what value is such that exactly 50% of all specimens have lifetimes exceeding that value? (round your answer to three decimal places.) hr