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2. Is ultrasound a reliable method for determining the gender of an unborn baby? There is accompanying data on 1000 births in the table below.

2. 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

Total

Actual Gender Is Female

425

49

474

Actual Gender Is Male

128

398

526

Total

553

447

1000

Answer parts (a and b). Round your answers to 2 decimal places.

2(a) What is the probability that ultrasound makes the correct prediction?

What is the probability that ultrasound makes the correct prediction for girls?

What is the probability that ultrasound makes the correct prediction for boys?

2(b). What is the probability that a newborn baby is female, given that the ultrasound predicted the baby would be female?

What is the probability that a newborn baby is male, given that the ultrasound predicted the baby would be male?

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