Question

A group of people were surveyed, and the data about their age and whether they have an iron deficiency was recorded in the two-way frequency table.

Based on the data in the table, the probability of randomly choosing a person who has iron deficiency and is less than 20 years old is 1.) _____ . The
probability of randomly choosing a person who does not have iron deficiency and is more than 20 years old is 2.) _____ .

Chooses For #1 =

1-A.) 0.14
1-B.) 0.27
1-C.) 0.4

Chooses For #2 =

2-A.) 0.15
2-B.) 0.23
2-C.) 0.3

Answer 1

Answer: 1-A.) 0.14

2-C.) 0.3

Step-by-step explanation:

1.) The number of persons who have iron deficiency and is less than 20 years old =41

The total number of persons surveyed = 3000

Thus, the probability of randomly choosing a person who has iron deficiency and is less than 20 years old
`=(41)/(300)=0.136666666667\approx0.14`

Hence, the probability of randomly choosing a person who has iron deficiency and is less than 20 years old = 0.14

2.) The number of persons who do not have iron deficiency and is more than 20 years old =43+46=89

Thus, the probability of randomly choosing a person who do not have iron deficiency and is more than 20 years old
`=(89)/(300)=0.296666666667\approx0.30`

Hence, the probability of randomly choosing a person who do not have iron deficiency and is more than 20 years old =0.3

Answer 2

1-A.) 0.14 ; 2-C.) 0.3

Explanation:

There are 41 people less than 20 years old who have an iron deficiency. There are 300 total people. This gives us the probability

41/300 = 0.136666 ≈ 0.14

There are 43+46 = 89 people greater than 20 years old who do not have an iron deficiency. There are 300 total people. This gives us the probability

89/300 = 0.29666 ≈ 0.30 = 0.3