Question

The following table identifies a group of children by one of four hair colors, and by...

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 21 14 4 44
Straight 80 14 13
Totals 19 217

  • Part (a)

    Complete the table.
    Hair Type Brown Blond Black Red Totals
    Wavy 21 14 4 44
    Straight 80 14 13
    Totals 19

    217

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 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 blond or black hair. The complement of B would be the event of a child having wavy or straight hair

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

(a)

Hair Type Brown Blond Black Red Totals
Wavy 21 5 14 4 44
Straight 80 14 66 13 173
Totals 101 19 80 17 217

(b)

The probability that a randomly selected child will have wavy hair = 44/217

(c)

The probability that a randomly selected child will have either brown or blond hair = (101 + 19)/217 = 120/217

(d)

The probability that a randomly selected child will have wavy brown hair = 21/217

(e)

The probability that a randomly selected child will have red hair, given that he has straight hair

= 13/173

(f)

The probability of the complement of B = 1 - Probability of B = 1 - 101/217 = 116/217

(g)

The complement of B would be the event of a child not having brown hair

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