10.) Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neithea antigen. A third antigen, called the Rh antigen, is important in human reproduction, and may or may not be present in an individual. A person's blood type is A-positive if the individual has the A and Rh antigens, but not the B antigen. The blood type is AB-negative if the person has the A and B antigens, but not the Rh antigen. An individual with only the Rh antigen has blood type 0- positive. Other blood types are defined in a similar manner. In a certain hospital, the following data were recorded: 25 patients had the A antigen 8 patients had the A antigen and not the B antigen 27 patients had the B antigen 22 patients had the B antigen and the Rh antigen 30 patients had the Rh antigen 12 patients had none of the antigens 16 patients had the A antigen and the Rh antigen 15 patients had all three antigens (a) How many patients were represented in this survey? (b) How many patients had exactly one of the antigens? (c) How many patients had exactly two antigens? (d) How many patients had blood type O-positive? (e) How many patients had blood type AB-positive? (f) How many patients had blood type B-negative? (g) How many patients had blood type O-negative? (h) How many patients had blood type A-positive?

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## Blood Type Survey Data and Analysis

### Introduction

Human blood can contain different antigens: the A antigen, the B antigen, both the A and B antigens, or neither antigen. A third antigen, the Rh antigen, plays a crucial role in human reproduction and may or may not be present in an individual. A person's blood type is defined by the combination of these antigens:

- **A-positive**: Contains the A antigen and the Rh antigen, but not the B antigen.
- **AB-negative**: Contains both A and B antigens, but not the Rh antigen.
- **O-positive**: Contains only the Rh antigen.
- Other blood types follow similar categorization based on the presence or absence of these antigens.

### Recorded Data

In a survey conducted at a hospital, the following data were collected:

- 25 patients had the A antigen.
- 8 patients had the A antigen and not the B antigen.
- 27 patients had the B antigen.
- 22 patients had the B antigen and the Rh antigen.
- 30 patients had the Rh antigen.
- 12 patients had none of the antigens.
- 16 patients had the A antigen and the Rh antigen.
- 15 patients had all three antigens.

### Questions and Analysis

#### (a) How many patients were represented in this survey?

#### (b) How many patients had exactly one of the antigens?

#### (c) How many patients had exactly two antigens?

#### (d) How many patients had blood type O-positive?

#### (e) How many patients had blood type AB-positive?

#### (f) How many patients had blood type B-negative?

#### (g) How many patients had blood type O-negative?

#### (h) How many patients had blood type A-positive?

These questions prompt a detailed analysis of the data to determine the distribution of blood types and antigens among the patients surveyed. The answers require careful consideration of the overlap among groups and the properties of each blood type.
Transcribed Image Text:## Blood Type Survey Data and Analysis ### Introduction Human blood can contain different antigens: the A antigen, the B antigen, both the A and B antigens, or neither antigen. A third antigen, the Rh antigen, plays a crucial role in human reproduction and may or may not be present in an individual. A person's blood type is defined by the combination of these antigens: - **A-positive**: Contains the A antigen and the Rh antigen, but not the B antigen. - **AB-negative**: Contains both A and B antigens, but not the Rh antigen. - **O-positive**: Contains only the Rh antigen. - Other blood types follow similar categorization based on the presence or absence of these antigens. ### Recorded Data In a survey conducted at a hospital, the following data were collected: - 25 patients had the A antigen. - 8 patients had the A antigen and not the B antigen. - 27 patients had the B antigen. - 22 patients had the B antigen and the Rh antigen. - 30 patients had the Rh antigen. - 12 patients had none of the antigens. - 16 patients had the A antigen and the Rh antigen. - 15 patients had all three antigens. ### Questions and Analysis #### (a) How many patients were represented in this survey? #### (b) How many patients had exactly one of the antigens? #### (c) How many patients had exactly two antigens? #### (d) How many patients had blood type O-positive? #### (e) How many patients had blood type AB-positive? #### (f) How many patients had blood type B-negative? #### (g) How many patients had blood type O-negative? #### (h) How many patients had blood type A-positive? These questions prompt a detailed analysis of the data to determine the distribution of blood types and antigens among the patients surveyed. The answers require careful consideration of the overlap among groups and the properties of each blood type.
Expert Solution
Step 1

Given,

25 patients had the A antigen

8 patients had the A antigen and not the B antigen

27 patients had the B antigen

22 patients had the B antigen and the RH antigen

30 patients had the Rh antigen

12 patients had none of the antigens

16 patients had the A antigen and the Rh antigen

15 patients had all three antigens

 

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