Chapter 10 exercise

# Chapter 10 exercise - Chapter 10 A random phenomenon has...

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Chapter 10 A random phenomenon has outcomes that we cannot predict but that nonetheless have a regular distribution in very many repetitions. The probability of an event is the proportion of times the event occurs in many repeated trials of a random phenomenon. A probability model for a random phenomenon consists of a sample space S and an assignment of probabilities P . The sample space S is the set of all possible outcomes of the random phenomenon. Sets of outcomes are called events . P assigns a number P ( A ) to an event A as its probability . Any assignment of probability must obey the rules that state the basic properties of probability : 1. 0 ≤ P ( A ) ≤ 1 for any event A . 2. P ( S ) = 1. 3. Addition rule: Events A and B are disjoint if they have no outcomes in common. If A and B are disjoint , then P ( A or B ) = P ( A ) + P ( B ). 4. For any event A , P ( A does not occur) = 1 − P ( A ). When a

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Chapter 10 exercise - Chapter 10 A random phenomenon has...

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