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Chapter 5: Q 9. (page 246)

Identify one reason why the complementation rule is useful.

Short Answer

Expert verified

The chance of any event occurring can be simply calculated by subtracting the likelihood of the event not occurring from 1.

Step by step solution

01

Step 1. Given information.

The given statement is:

Identify one reason why the complementation rule is useful.

02

Step 2. Explanation.

We know from the concept of probability that any occurrence should have a probability that is greater than 0 but less than 1.

Any event's probability can be written as: PE

ThenPE'=1-PEwill denote the probability that the event will not occur.

The complementary rule of probability is the name given to this rule.

It is sometimes easier to compute the probability of not occurring any event for a large number of trials than it is to determine the chance of occurring any event.

By subtracting the likelihood of the event not occurring from 1, one can simply calculate the probability of the event occurring.

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Most popular questions from this chapter

The probability is 0.667 that the favorite in a horse race will finish in the money (first, second, or third place). In 500 horse races, roughly how many times will the favorite finish in the money?

Name three common discrete probability distributions other than the binomial distribution.

In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. LetX denote the total number of successes. Determine the required probabilities by using

(a) the binomial probability formula, Formula 5.4 on page 236. Round your probability answers to three decimal places.

(b) TableVII in AppendixA. Compare your answer here to that in part (a).

n=5,p=35,P(X=4)

Answer true or false to the following statement and justify your answer. If event A and event B are not mutually exclusive, neither are events A,B and C for every event C.

In probability and statistics, what is each repetition of an experiment called?
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