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Chapter 3: Q.53 (page 218)

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Are L and C mutually exclusive events? Show why or why not

Short Answer

Expert verified

No, L and C are not mutually exclusive.

Step by step solution

01

Content Introduction

A set of outcomes of a random experiment can be defined as an event in probability. All possible outcomes of an experiment are represented by the sample space. In probability, there are various different sorts of events. One of them is mutually exclusive events which are those that cannot happen at the same moment.

02

Content Explanation

To see L and C are not mutually exclusive events, consider the probability events (L AND C). If the probability of event P(L AND C)is equal to zero, then both events are mutually exclusive events. P(L AND C)=0.207

Hence, events L and C are not mutually exclusive.

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Most popular questions from this chapter

Mark is deciding which route to take to work. His choices are I = the Interstate and F = Fifth Street.

•P(I)=0.44andP(F)=0.56

• role="math" localid="1652098516712" P(I∩F)=0because Mark will take only one route to work.

What is the probability of P(IORF)?

What is the sum of the probabilities of an event and its complement?

A shelf holds 12books. Eight are fiction and the rest are nonfiction. Each is a different book with a unique title. The fiction books are numbered one to eight. The nonfiction books are numbered one to four. Randomly select one book

Let F = event that book is fiction

Let N = event that book is nonfiction

What is the sample space?

The following table of data obtained from www.baseball-almanac.com shows hit information for four players. Suppose that one hit from the table is randomly selected.

Are "the hit being made by Hank Aaron" and "the hit being a double" independent events?

a. Yes, because P(hit by Hank Aaron | hit is a double) =P(hit by Hank Aaron)

b. No, because P(hit by Hank Aaron | hit is a double) ≠P(hit is a double)

c. No, because P(hit is by Hank Aaron | hit is a double) ≠P(hit by Hank Aaron)

d. Yes, because P(hit is by Hank Aaron | hit is a double) =P(hit is a double)

Use the following information to answer the next six exercises. There are 23countries in North America, 12countries in

South America, 47countries in Europe, 44countries in Asia, 54countries in Africa, and 14in Oceania (Pacific Ocean

region).

Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

Let N = the event that a country is in North America.

Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

Find P(S).
See all solutions

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