Use the two way table below, which shows the results of a survey of 1,229 famili

Question

Use the two way table below, which shows the results of a survey of 1,229 families. number of children 0 1 2 3 4 or over Total Family Income Income low income 65 51 108 84 16 middle income 50 81 195 102 3 high income 102 158 152 61 1 1. What is the probability that a family has 2 children? 2. Using the table what is the probability that a family has at least 3 children? 3. Using the table what is the probability that a family has a low income given that they have 1 child? 4. Using the table from what is the probability that a family has 1 child given that they have a high income? Use the two way table below, which shows the results of a survey of 1,229 families. number of children 0 1 2 3 4 or over Total Family Income Income low income 65 51 108 84 16 middle income 50 81 195 102 3 high income 102 158 152 61 1 1. What is the probability that a family has 2 children? 2. Using the table what is the probability that a family has at least 3 children? 3. Using the table what is the probability that a family has a low income given that they have 1 child? 4. Using the table from what is the probability that a family has 1 child given that they have a high income?

Explanation / Answer

from above table:

1)  probability that a family has 2 children =455/1229 =0.37022

2)  probability that a family has at least 3 children =(247+20)/1229=0.21725

3) probability that a family has a low income given that they have 1 child =51/290 =0.175862

4)  probability that a family has 1 child given that they have a high income =158/474=0.3333

number of children 0 1 2 3 4 or over Total Family Income low income 65 51 108 84 16 324 middle income 50 81 195 102 3 431 high income 102 158 152 61 1 474 total 217 290 455 247 20 1229

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