A=student is female
b=student is majoring in business

the probability a business major is female
p(b|a)

the probability a female student is majoring in business
p(a|b)

correct?

For "The probability a business major is female" - you're looking for the probability of being female. That the person is a business major is already given. So, P(A|B)

For "The probability a female student is majoring in business" - you're looking for the probability of being majoring in business. That the person is a female is already given. So, P(B|A)

The distance from point a to point c across the coordinate plane is aproxamatly 8.94 rounded to the nearest hundredth. you use a^2 + b^2 =c^2