Question Part Points Submissions Used Is ultrasound a reliable method for determ

Question

Question Part Points Submissions Used 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 369 57 Actual Gender Is Male 111 463 (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.)

Explanation / Answer

from above table:

a)   probability that a newborn baby is female, given that the ultrasound predicted the baby would be female

=369/480=0.7688

b)probability that a newborn baby is male, given that the ultrasound predicted the baby would be male.

=463/520=0.8904

ultrasound predicted female ultrasound predicted male total actual gender female 369 57 426 actual gender male 111 463 574 total 480 520 1000

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