6.38 ▼ Is ultrasound a reliable method for determining the gender of an unborn baby? The accompanying data on 1000 births are consistent with summary values that appeared in the Journal of Statistics Education

(“New Approaches to Learning Probability in the First Statistics Course,” 2001).

Ultrasound Predicted Female Ultrasound Predicted Male Actual Gender Is Female 432 48 Actual Gender Is Male 130 390

a. Use the given information to estimate the probability that a newborn baby is female, given that the ultrasound predicted the baby would be female.

b. Use the given information to estimate the probability that a newborn baby is male, given that the ultrasound predicted the baby would be male.

c. Based on your answers to Parts

(a) and (b), do you think that a prediction that a baby is male and a prediction that a baby is female are equally reliable? Explain.