Basic Business Statistics, Student Value Edition (13th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 4, Problem 1PS

Three coins are tossed.

a. Give an example of a simple event.

b. Give an example of a joint event.

c. What is the complement of a head on the first toss?

d. what does the sample space consist of?

a.

Expert Solution
Check Mark
To determine

Determine an example of a simple event when three coins are tossed.

Answer to Problem 1PS

Simple events are tossing the heads or tossing a tail

Explanation of Solution

A simple event is an event that has only one characteristic, that is, it contains the outcomes that cannot be further subdivided.

An example of a simple event, when a coin is tossed, is either getting a head or getting a tail. These outcomes represent one characteristics, and it cannot be further subdivided.

b.

Expert Solution
Check Mark
To determine

Determine an example of a joint event when three coins are tossed.

Answer to Problem 1PS

Joint events are tossing three heads, tossing three tail etcetera.

Explanation of Solution

Joint Event is an event that has two or more characteristics. Joint probability is the likelihood of more than one event occurring at the same time.

An example of a joint event can be simultaneously tossing three heads HHH ,or a tail followed by two heads THH or a head followed by two tails HTT or simultaneously tossing three tails TTT . All these events have more than one characteristic, and it can be further subdivided.

c.

Expert Solution
Check Mark
To determine

Determine the complement of an event ‘head on the first toss’.

Answer to Problem 1PS

The complement of head is getting a tail.

Explanation of Solution

Complement is the subset of outcomes that are not a part of the event.

When a coin is tossed twice, there are two possible outcomes which are getting a head or getting a tail. Both these events are mutually exclusive and exhaustive events.

Therefore, if the head comes up, tail can’t and vice versa. So, the complement of a head on the first toss will be tail coming on the first toss.

d.

Expert Solution
Check Mark
To determine

Determine the sample space on tossing three coins.

Explanation of Solution

Sample Space is the set of all possible outcomes. So, the sample space of tossing three coins will consist of 8 outcomes which are: HHH,HHT,HTH,THH,TTH,THT,HTT,TTT

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Chapter 4 Solutions

Basic Business Statistics, Student Value Edition (13th Edition)

Ch. 4 - Referring to the contingency table in Problem...Ch. 4 - Prob. 12PSCh. 4 - Prob. 13PSCh. 4 - Prob. 14PSCh. 4 - Each year ratings are compiled concerning the...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - If P(AandB)=0.4andP(B)=0.8,findP(AB).Ch. 4 - Prob. 19PSCh. 4 - ...Ch. 4 - Do males or females feel more tense or stressed...Ch. 4 - Prob. 22PSCh. 4 - Prob. 23PSCh. 4 - Prob. 24PSCh. 4 - Prob. 25PSCh. 4 - Each year, rating are compiled concerning the...Ch. 4 - Prob. 27PSCh. 4 - A standard deck of cards is being used to play a...Ch. 4 - Prob. 29PSCh. 4 - ...Ch. 4 - ...Ch. 4 - In Example 4.10 to suppose that the probability...Ch. 4 - Prob. 33PSCh. 4 - Olive Construction Company is determining whether...Ch. 4 - Prob. 35PSCh. 4 - The editor of a textbook published company is...Ch. 4 - A municipal bond service has three rating...Ch. 4 - If there are 10 multiple-choice question on an...Ch. 4 - A lock on a bank vault consists of three dials,...Ch. 4 - a. If a coin is tossed seven times, how many...Ch. 4 - A particular brand of women’s jeans is available...Ch. 4 - Prob. 42PSCh. 4 - Prob. 43PSCh. 4 - Prob. 44PSCh. 4 - Referring to Problem 4.44 how many different...Ch. 4 - A gardener has six rows available in his vegetable...Ch. 4 - Prob. 47PSCh. 4 - Four member of a group of 10 people are to be...Ch. 4 - A student has seven books that she would like to...Ch. 4 - A daily lottery is conducted in which 2 winning...Ch. 4 - Prob. 51PSCh. 4 - What are the differences between a priori...Ch. 4 - What is the difference between a simple event and...Ch. 4 - How can you use the general addition rule to find...Ch. 4 - What is the difference between mutually exclusive...Ch. 4 - How does conditional probability relate to the...Ch. 4 - How does the multiplication rule differ for events...Ch. 4 - How can you use Bayes theorem in light of new...Ch. 4 - In Bayes’ theorem, how does the prior...Ch. 4 - A survey by the Health Research Institute at...Ch. 4 - SHL Americas provides a unique, global perspective...Ch. 4 - Prob. 62PSCh. 4 - Prob. 63PSCh. 4 - Prob. 64PSCh. 4 - Prob. 65PS

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