Exercise 2.1 (Sample Space and Events) The rise times (unit: min.) of a reactor for two batches are measured in an experiment. 1. Define the sample space of the experiment. 2. Define E1 where the reactor rise time of the first batch is less than 55 min. and E2 where the reactor rise time of the second batch is greater than 70 min. 3. Find Ej U E2, Ei N E2, and E1'. 4. Are E1 and E2 mutually exclusive?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Exercise 2.1 (Sample Space and Events) The rise times (unit: min.) of a reactor for
two batches are measured in an experiment.
1. Define the sample space of the experiment.
2. Define E1 where the reactor rise time of the first batch is less than 55 min. and
E2 where the reactor rise time of the second batch is greater than 70 min.
3. Find Ej U E2, E1 N E2, and Ei'.
4. Are Ei and E2 mutually exclusive?
5. Are Ei and E2 exhaustive?
Transcribed Image Text:Exercise 2.1 (Sample Space and Events) The rise times (unit: min.) of a reactor for two batches are measured in an experiment. 1. Define the sample space of the experiment. 2. Define E1 where the reactor rise time of the first batch is less than 55 min. and E2 where the reactor rise time of the second batch is greater than 70 min. 3. Find Ej U E2, E1 N E2, and Ei'. 4. Are Ei and E2 mutually exclusive? 5. Are Ei and E2 exhaustive?
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