In: Statistics and Probability
The following table identifies a group of children by one of four hair colors, and by type of hair.
Hair Type | Brown | Blond | Black | Red | Totals |
---|---|---|---|---|---|
Wavy | 19 | 13 | 5 | 42 | |
Straight | 78 | 14 | 14 | ||
Totals | 19 | 211 |
Part (a)
Complete the table.Hair Type | Brown | Blond | Black | Red | Totals |
---|---|---|---|---|---|
Wavy | 19 | 13 | 5 | 42 | |
Straight | 78 | 14 | 14 | ||
Totals | 19 | 211 |
Part (b)
What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.)
Part (c)
What is the probability that a randomly selected child will have either brown or blond hair? (Enter your answer as a fraction.)
Part (d)
What is the probability that a randomly selected child will have wavy brown hair? (Enter your answer as a fraction.)
Part (e)
What is the probability that a randomly selected child will have red hair, given that he has straight hair? (Enter your answer as a fraction.)
Part (f)
If B is the event of a child having brown hair, find the probability of the complement of B. (Enter your answer as a fraction.)
Part (g)
If B is the event of a child having brown hair, what does the complement of B represent?The complement of B would be the event of a child having blond or black hair.The complement of B would be the event of a child having blond hair. The complement of B would be the event of a child not having brown hair.The complement of B would be the event of a child having wavy or straight hair.