The pdf of the time to failure of an electronic component in a copier (in hours) is f (x) = [exp (-x/3100)]/3100 for x > 0 and f (x) = 0 for x ≤ 0. Determine the probability that: (a) A component lasts more than 1180 hours before failure. (b) A component fails in the interval from 1180 to 2010 hours. (c) A component fails before 3010 hours. (d) Determine the number of hours at which 11% of all components have failed. (e) Determine the mean. Round your answers to three decimal places (e.g. 98.765).
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The
(a) A component lasts more than 1180 hours before failure.
(b) A component fails in the interval from 1180 to 2010 hours.
(c) A component fails before 3010 hours.
(d) Determine the number of hours at which 11% of all components have failed.
(e) Determine the mean.
Round your answers to three decimal places (e.g. 98.765).
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