Consider the data on 1000 births. Please leave your answers as unsimplified fractions. Predicted Female Predicted Male Total Actually Female 450 90 540 Actually Male 100 360 460 Total 550 450 1000 a)...

  Consider the data on 1000 births.  Please leave your answers as unsimplified fractions.

a) Find the probability that a baby is actually male.

b) Find the probability that the ultrasound predicted the baby would be male.

c) Find the probability that a baby is actually maleand predicted male.

d) Find the probability that a baby is actually maleor predicted male.

e) Find the probability that a baby is actually male, given that the ultrasound predicted the baby would be male.