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Sets Two - Statistics - Exercise, Exercises of Statistics

Amity University - Bihar Statistics

These are the notes of Exercise of Statistics. Key important points are: Sets, Word Description, Elements, Number of Living, True or False, Saskatchewan, Cardinal Number

Typology: Exercises

2012/2013

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Lesson

Sets(2)

Use the Venn dia

ram to list the elements of the set in roster form.

1) List the elements of A.

2) List the elements of U.

Use the followin

definition to place the indicated natural number in the correct re

ion of the Venn

diagram.

A palindromic number is a natural number whose value does not change if its digits are reversed.

U = the set of natural numbers

A = the set of palindromic numbers

B = the set of odd numbers

3) 110

Prestatistics

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Lesson

Sets (2)

Use the Venn diagram to list the elements of the set in roster form.

1) List the elements of A.

2) List the elements of U.

Use the following definition to place the indicated natural number in the correct region of the Venn

diagram.

A palindromic number is a natural number whose value does not change if its digits are reversed.

U = the set of natural numbers

A = the set of palindromic numbers

B = the set of odd numbers

Prestatistics

Let U = {1, 2, 4, 5, a, b, c, d, e}. Use the roster method to write the complement of the set.

5) A = {2, 4, b, d}

Let U = {21, 22, 23, 24, ...}, A = {21, 22, 23, 24, ..., 40}, B = {21, 22, 23, 24, ..., 50}, C = {22, 24, 26, 28, ...},

and D = {21, 23, 25, 27, ...}. Use the roster method to write the following set.

6) C'

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}. List the elements in the set.

7) A ∩ B'

8) (A ∩ B)'

9) A ∩ B

10) (A ∪ B)'

11) C' ∪ A'

12) B ∪ C

13) C ∪ ∅

14) (A ∪ B)'

15) C' ∪ A'

16) A'

Prestatistics

22) Set A contains 7 letters and 11 numbers. Set B contains 10 letters and 11 numbers. Three letters and

4 numbers are common to both sets A and B. Find the number of elements in set A or set B.

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}. List the elements in the set.

23) A ∪ (B ∩ C)

24) (A ∪ B) ∩ (A ∪ C)

25) (A' ∩ B) ∪ (A' ∩ C')

26) (A ∪ B ∪ C)'

27) (A ∪ B)' ∩ C

Use set notation to identify the shaded region.

Prestatistics

The chart shows the most common causes of death in certain areas of the United States.

Most Common Causes of Death in U.S.

Region A Region B Region C

1. heart disease 1. heart disease 1. heart disease

2. cerebrovascular 2. cerebrovascular 2. cerebrovascular

3. COPD 3. COPD 3. COPD

4. pneumonia 4. accidents 4. accidents

5. accidents 5. pneumonia 5. liver disease

Use the Venn diagram to indicate in which region each cause should be placed.

29) liver disease

30) pneumonia

Prestatistics

How many elements belong to set A and set B?

A) 10 B) 9 C) 42 D) 33

Use the given cardinalities to determine the number of elements in the specific region.

34) n(U) = 147, n(A) = 48, n(B) = 68, n(C) = 46, n(A ∩ B) = 19, n(A ∩ C) = 22, n(B ∩ C) = 18, n(A ∩

B ∩ C) = 10

Find VIII.

A) 0 B) 34 C) 54 D) 48

Use a Venn diagram to answer the question.

35) At East Zone University (EZU) there are 730 students taking College Algebra or Calculus. 427 are

taking College Algebra, 366 are taking Calculus, and 63 are taking both College Algebra and

Calculus. How many are taking Algebra but not Calculus?

36) At East Zone University (EZU) there are 565 students taking College Algebra or Calculus. 327 are

taking College Algebra, 266 are taking Calculus, and 28 are taking both College Algebra and

Calculus. How many are taking Calculus but not Algebra?

Prestatistics

37) A local television station sends out questionnaires to determine if viewers would rather see a

documentary, an interview show, or reruns of a game show. There were 400 responses with the

following results:

120 were interested in an interview show and a documentary, but not reruns;

16 were interested in an interview show and reruns, but not a documentary;

56 were interested in reruns but not documentaries or interviews;

96 were interested in an interview show but not a documentary;

40 were interested in a documentary and reruns;

24 were interested in an interview show and reruns;

32 were interested in none of the three.

How many are interested in exactly one kind of show?

Solve the problem.

38) There are 777,859 physicians in the United States.

177,030 are women.

33,947 physicians have cardiology as their specialty.

6,817 women physicians specialize in cardiology.

Identify the Venn diagram in which U is the set of all physicians, W is the set of all women

physicians, and C is the set of all U.S. physicians specializing in cardiology. Fill in each of the four

regions of the Venn diagram with the number of physicians who belong to that region.

Use your Venn diagram to answer the questions.

How many physicians in the United States are there who are men specializing in cardiology?

How many male physicians in the United States do not specialize in cardiology?

Prestatistics

Sets Two - Statistics - Exercise, Exercises of Statistics

Related documents

Partial preview of the text

Download Sets Two - Statistics - Exercise and more Exercises Statistics in PDF only on Docsity!

Lesson

Sets (2)

Use the Venn diagram to list the elements of the set in roster form.

1) List the elements of A.

2) List the elements of U.

Use the following definition to place the indicated natural number in the correct region of the Venn

diagram.

A palindromic number is a natural number whose value does not change if its digits are reversed.

U = the set of natural numbers

A = the set of palindromic numbers

B = the set of odd numbers

Let U = {1, 2, 4, 5, a, b, c, d, e}. Use the roster method to write the complement of the set.

5) A = {2, 4, b, d}

Let U = {21, 22, 23, 24, ...}, A = {21, 22, 23, 24, ..., 40}, B = {21, 22, 23, 24, ..., 50}, C = {22, 24, 26, 28, ...},

and D = {21, 23, 25, 27, ...}. Use the roster method to write the following set.

6) C'

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}. List the elements in the set.

7) A ∩ B'

8) (A ∩ B)'

9) A ∩ B

10) (A ∪ B)'

11) C' ∪ A'

12) B ∪ C

13) C ∪ ∅

14) (A ∪ B)'

15) C' ∪ A'

16) A'

22) Set A contains 7 letters and 11 numbers. Set B contains 10 letters and 11 numbers. Three letters and

4 numbers are common to both sets A and B. Find the number of elements in set A or set B.

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}. List the elements in the set.

23) A ∪ (B ∩ C)

24) (A ∪ B) ∩ (A ∪ C)

25) (A' ∩ B) ∪ (A' ∩ C')

26) (A ∪ B ∪ C)'

27) (A ∪ B)' ∩ C

Use set notation to identify the shaded region.

The chart shows the most common causes of death in certain areas of the United States.

Most Common Causes of Death in U.S.

Region A Region B Region C

1. heart disease 1. heart disease 1. heart disease

2. cerebrovascular 2. cerebrovascular 2. cerebrovascular

3. COPD 3. COPD 3. COPD

4. pneumonia 4. accidents 4. accidents

5. accidents 5. pneumonia 5. liver disease

Use the Venn diagram to indicate in which region each cause should be placed.

29) liver disease

30) pneumonia

How many elements belong to set A and set B?

A) 10 B) 9 C) 42 D) 33

Use the given cardinalities to determine the number of elements in the specific region.

34) n(U) = 147, n(A) = 48, n(B) = 68, n(C) = 46, n(A ∩ B) = 19, n(A ∩ C) = 22, n(B ∩ C) = 18, n(A ∩

B ∩ C) = 10

Find VIII.

A) 0 B) 34 C) 54 D) 48

Use a Venn diagram to answer the question.

35) At East Zone University (EZU) there are 730 students taking College Algebra or Calculus. 427 are

taking College Algebra, 366 are taking Calculus, and 63 are taking both College Algebra and

Calculus. How many are taking Algebra but not Calculus?

36) At East Zone University (EZU) there are 565 students taking College Algebra or Calculus. 327 are

taking College Algebra, 266 are taking Calculus, and 28 are taking both College Algebra and

Calculus. How many are taking Calculus but not Algebra?

37) A local television station sends out questionnaires to determine if viewers would rather see a

documentary, an interview show, or reruns of a game show. There were 400 responses with the

following results:

120 were interested in an interview show and a documentary, but not reruns;

16 were interested in an interview show and reruns, but not a documentary;

56 were interested in reruns but not documentaries or interviews;

96 were interested in an interview show but not a documentary;

40 were interested in a documentary and reruns;

24 were interested in an interview show and reruns;