Biologists studying Northern cardinals (Cardinalis cardinalis) have found that the wingspans of female birds are normally distributed with a mean of 27 cm and a standard deviation of 3 cm and the wingspans of male birds are also normally distributed with a mean of 30 cm and a standard deviation of 5 cm.They are studying a population of birds that is 67% female.

1-What wingspan measurement is the third quartile of the male distribution?

2-What proportion of female birds have a wingspan between 20 cm and 30 cm?

3-What proportion of birds in this population have a wingspan of more than 30 cm?

4-If a randomly selected bird had a wingspan under 30 cm, what is the probability that the bird is female?