Question

Case |
Hospitalized? |
Gender |
Age |
Insured |
Count of Patients |

1 | Yes | Male | >65 | Yes | 10 |

2 | Yes | Male | <65 | Yes | 20 |

3 | Yes | Female | >65 | Yes | 30 |

4 | Yes | Female | <65 | No | 40 |

5 | No | Male | >65 | No | 20 |

6 | No | Male | <65 | No | 40 |

7 | No | Female | >65 | No | 60 |

8 | No | Female | <65 | No | 80 |

Using the above data answer the following questions:

- What is the probability of hospitalization given that you are male? Select all males and count the number of patients who were hospitalized. Calculate the probability as the ratio of males hospitalized to number of males.
- Create a contingency table for interaction between age and gender. Calculate the conditional probability of being female given that one is more than 65 years old. Also report the conditional probability of being 65 years old given that you are female. Answer this question by reducing the universe of possibilities to the condition specified. The condition is the event that we know has happened.

Answer #1

Probability of hospitalization given that you are male

= number of hospitalized males) / number of males

= 2 / 4

= **0.5**

Contingency Table

Age/Gender | Male | Female |

<65 | 2 | 2 |

>65 | 2 | 2 |

Conditional probability of being female given that one is more than 65 years old

= n(females more than 65 years old) / n(people more than 65 years old)

= 2 / 4

= **0.5**

Conditional probability of being more than 65 years old given that you are female

= n(females more than 65 years old) / n(females)

= 2 / 4

= **0.5**

StudentNO
Gender
Height in inchese
1
Female
63
2
Female
64.0
3
Male
67.0
4
Female
59
5
Male
60
6
Female
61
7
Female
62
8
Female
63
9
Female
63
10
Female
64
11
Male
64
12
Female
65
13
Female
65
14
Female
65
15
Female
65
16
Female
66
17
Female
66
18
Male
67
19
Male
67
20
Male
67
21
Female
67
22
Male
67
23
Male
67
24
Female
67.5
25
Male
68...

MALE :Student # Gender Height Shoe Age Hand
1 M 67 10 19 R
2 M 74 12 17 R
3 M 72 11.5 19 R
4 M 69 10 35 R
5 M 66 9 18 R
6 M 71 10.5 17 R
7 M 72 10.5 17 R
8 M 66 10 20 R
9 M 67 10 18 R
10 M 71 10.5 24 R
11 M 66 10 21 R
12 M 71 10.5 18 R...

Student # Gender Height Shoe Age Hand
1 F 68 8.5 20 R
2 F 60 5.5 27 R
3 F 64 7 31 R
4 F 67 7.5 19 R
5 F 65 8 20 R
6 F 66 9 29 R
7 F 62 9.5 30 L
8 F 63 8.5 18 R
9 F 60 5 19 L
10 F 63 7.5 42 R
11 F 61 7 20 R
12 F 64 7.5 17 R
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