Is ultrasound a reliable method for determining the gender of an unborn baby? There is accompanying data on 1000 births in the table below.
Ultrasound
Predicted
Female Ultrasound
Predicted
Male
Actual Gender Is
Female 495 39
Actual Gender Is
Male 149 317
(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. (Give the answer to three decimal places.)
(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. (Give the answer to three decimal places.)