<span>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)
</span>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)
<h2>
Hello!</h2>
The answer is:

<h2>
Why?</h2>
To solve the problem, we need to perform the operations and then, add like terms.
We need to apply the distributive property, which is defined by the following way:

Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:

We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.
So, we are given the expression:

Then, solving we have:

Hence, we have that the answer is:

Have a nice day!
f(x) + c -> up by c
f(x) - c -> down by c
f(x + c) -> left by c
f(x - c) -> right by c
For y = f(x + c), the y value of x now takes the y value of the function of x + c, or the one c to the right of x, shifting the entire graph left by c.
No because there are two different outputs for the same input. (9)