A researcher is conducting a disaster preparedness survey in 4 cities in Califor

Question

A researcher is conducting a disaster preparedness survey in 4 cities in California. The researcheashjr collects information from 20 participants on age, city of residence, whether or not they have an earthquake kit prepared and whether or not they have experienced a major earthquake (>6.5). Data from the survey are presented below

TABLE 1

1. If the researcher was to choose one person at random, what is the probability she would choose a person who is under 30 years old?

2. If the researcher was to choose one person at random, what is the probability she would choose a person who lives in Los Angeles or Santa Cruz?

3. If the researcher was to choose one person at random, what is the probability she would choose a person who lives in San Francisco or has experienced a major earthquake?

4. If the researcher was to choose one person at random, what is the probability she would choose a person who has an earthquake kit prepared?

5. If the researcher was to choose 2 people at random (assume when a person is chosen, they are not eligible to be chosen again), what is the probability that the 1st person she chooses lives in Los Angeles and the 2nd person she chooses lives in Los Angeles?

6. If the researcher was to choose 3 people at random (assume when a person is chosen, they are not eligible to be chosen again), what is the probability that all 3 people she chooses will be over 50 years old?

ID# | Age | City of Residence | Earthquake kit prepared? | Experienced major earthquake? Los Angeles Los Angeles Los Angeles Los Angeles Los Angeles Los Angeles San Francisco San Francisco San Francisco San Francisco San Francisco San Francisco San Francisco San Diego San Diego San Diego Santa Cruz Santa Cruz Santa Cruz Santa Cruz 26 57 Y es 24 57 36 82 Y es 67 24 75 20

Explanation / Answer

1) probability she would choose a person who is under 30 years old =8/20=0.4

2)

probability she would choose a person who lives in Los Angeles or Santa Cruz =10/20=0.5

3) probability she would choose a person who lives in San Francisco or has experienced a major earthquake =(7+8-3)/20=0.6

4)

probability she would choose a person who has an earthquake kit prepared =6/20=0.3

5) probability that the 1st person she chooses lives in Los Angeles and the 2nd person she chooses lives in Los Angeles =(6/20)*(5/19)=0.0789

6) probability that all 3 people she chooses will be over 50 years old=(6/20)*(5/19)*(4/18)=0.0175

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