Is ultrasound a reliable method for determining the gender of an unborn baby? There is accompanying...

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	488	40
Actual Gender Is Male	147	325

(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.)

Expert Solution

	Ultrasound Predicted Female	Ultrasound Predicted Male
Actual Gender Is Female	488	40	528
Actual Gender Is Male	147	325	472
	635	365	1000

(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.)
P(Actual Gender Is Female)= P(AF)

P(Ultrasound Predicted Female)=P(UF)

P(Actual Gender Is Male)= P(AM)

P(Ultrasound Predicted Male)=P(UM)

(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.)

orchestra answered 2 years ago

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Is ultrasound a reliable method for determining the gender of an unborn baby? There is accompanying...

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