Relative frequency approximation Blood Types

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4.1 - 1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Example: Blood Types In a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities. a. A person has type O blood. Type Frequency A 22 B 5 AB 2 O 21 Total 50

Transcript of Relative frequency approximation Blood Types

4.1 - 1Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

a. A person has type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 2Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

a. A person has type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 3Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

a. A person has type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 4Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

a. A person has type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 5Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

a. A person has type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 6Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

b. A person has type A or type B blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 7Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

b. A person has type A or type B blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 8Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

b. A person has type A or type B blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 9Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

b. A person has type A or type B blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 10Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

b. A person has type A or type B blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 11Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

b. A person has type A or type B blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

22 550

2750 54%

4.1 - 12Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 13Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 14Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 15Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 16Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 17Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 18Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 19Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 20Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 21Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

c. A person has neither type A nor type O blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 22Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 23Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 24Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 25Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 26Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 27Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 28Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 29Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

4.1 - 30Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood.

Type FrequencyA 22B 5

AB 2O 21

Total 50

22 5 21

504850

4.1 - 31Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.

Example: Blood TypesIn a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB blood. Set up a frequency distribution and find the following probabilities.

d. A person does not have type AB blood. Alternative SolutionSince there are 50 total people in the population and 2 with Type AB

blood, then 50 – 2 = 48 people do not have Type AB blood

Type FrequencyA 22B 5

AB 2O 21

Total 50

50 250

4850 96%