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Chapter 5: Q 5.7. (page 200)

State the frequentist interpretation of probability.

Short Answer

Expert verified

The proportion of times an event occurs in a large number of repetitions of the same experiment determines its probability.

Step by step solution

01

Step 1. Given information.

The given statement is:

State the frequentist interpretation of probability.

02

Step 2. State the frequentist interpretation of probability.

The frequentist interpretation of probability holds that the likelihood of an event occurring in a large number of repetitions of the same experiment is equal to the proportion of times it occurs.

For instance, suppose a coin is tossed N times and the number of heads is k. In this situation, the chances of getting a "head" are as follows:

P(head)=kN

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Most popular questions from this chapter

In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.

Murder Victims. As reported by the Federal Bureau of Investigation in Crime in the United States, the age distribution of murder victims between 20 and 59 years old is as shown in the following table.

A murder case in which the person murdered was 59 years old is selected at random. Find the probability that the murder victim was

(a) between 40 and 44 years old, inclusive.

(b) at least 25 years old, that is, 25 years old or older.

(c) between 45 and 59 years old, inclusive.

(d) under 30 or over 54.

Suppose that A, B, C are three events that cannot all occur simultaneously. Does this condition necessarily imply that A, B, and C are mutually exclusive ? Justify your answer and illustrate it with a venn diagram.

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=3,p=0.4,P(X=1)

What meaning is given to the probability of an event by the frequentist interpretation of probability?

What does it mean two events to be mutually exclusive.?
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