Question

(c) Assume this is a simple random sample of U.S. women. Use the Empirical Method to estimate the probability that a woman has more than six children. Round your answer to four decimal places.

Answer 1

Complete Question

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Answer:

p(X> 6 ) = 0.01132 + 0.01672 = 0.0280

           

Step-by-step explanation:

The probability that the US woman would have more than six children is equal to the probability that she would have children that are equal to 7 or that she would that she would have children equal to 8 or more as shown on the table in the question

Now representing this mathematically we have

                     p(X > 6) = p(x =7 ) + p(x = 8 or more)

    From the table the p(x = 7 ) $= \frac{523}{46165} = 0.01132$

     And the p(x= 8 or more ) $= \frac{772}{46165} = 0.01672$

Hence  p(X> 6 ) = 0.01132 + 0.01672 = 0.0280