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CalculusCalculus: An Applied Approach (MindTap Course List)Finding Sample Spaces and Events In Exercises 1–4, list or describe the elements in the specified set. Letters A letter from the word integral is selected. (a) The sample space S (b) The event A that the letter is a vowel (c) The event B that the letter is a gBuyFind*launch*

10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 1RE

Textbook Problem

**Finding Sample Spaces and Events** In Exercises 1–4, list or describe the elements in the specified set.

**Letters** A letter from the word *integral* is selected.

(a) The sample space *S*

(b) The event *A* that the letter is a vowel

(c) The event *B* that the letter is a g

Expert Solution

**(a)**

To determine

The sample space *S* for the letters from the word “*integral*”.

**Solution:**

The sample space *S* for the letters from the word “integral” is

**Given Information:**

The word “*integral*”.

**Formula used:**

In probability, the set of all possible outcomes of the experiment is the sample space of the experiment.

Consider the provided word “integral”.

The sample space of the letters from the word “*integral*” is the set of all eight letters present in the word “*integral*”. So, the sample space is:

Therefore, the sample space is

Expert Solution

**(b)**

To determine

The outcomes of the event *A* that describe the set of vowel form the word *integral*.

**Solution:**

The outcomes of the event *A* that describe the set of vowel is

**Given Information:**

The word “integral”.

Consider the provided word “*integral*”.

The sample space of the letters from the word “*integral*” is the set of all letters present in the word “*integral*”. So, the sample space is:

The event *A* is defined as that the letter is a vowel. The vowels that are present in the word “*integral*” are *A* is:

Therefore, The outcomes of the event *A* that describe the set of vowel is

Expert Solution

**(c)**

To determine

The outcomes of the event *A* that describe the letter “*g*”.

**Solution:**

The outcomes of the event *A* that describe the letter “*g*” is

**Given Information:**

The word “integral”.

**Formula used:**

In probability, the event is the sub collection or subset of a sample space.

Consider the provided word “*integral*”.

The sample space of the letters from the word “*integral*” is the set of all letters present in the word “*integral*”. So, the sample space is:

The event *B* is defined as that the letter is a “*g*”. So, the only possible outcome of the event *B* is:

Therefore, the outcomes of the event *A* that describe the letter “*g*” is

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Calculus: An Applied Approach (MindTap Course List)

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