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Mathematics, 01.10.2019 01:00 datgamer13
The output of a chemical process is continually monitored to ensure that the concentration remains within acceptable limits. whenever the concentration drifts outside the limits, the process is shut down and recalibrated. let x be the number of times in a given week that the process is recalibrated. its cumulative distribution function is fx(x) = 0, x < 0 0.17, 0 ≤ x < 1 0.53, 1 ≤ x < 2 0.84, 2 ≤ x < 3 0.97, 3 ≤ x < 4 1, x ≥ 4 (a) what is the probability that the process is recalibrated less than two times during the week ? (b) what is the probability that the process is recalibrated more than three times during the week ? (c) what is the probability that the process is recalibrated exactly once during the week ? (d) what is the expected number times that the process is recalibrated during the week ?
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