<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)
Answer:

Step-by-step explanation:
Hello!
We can use the special binomial product formulas:
<h3>Simplify</h3>
The simplified form is 

We know that
and 
Substitute in the value. 
Use a calculator to multiply. 
Answer:
19 birds
Step-by-step explanation:
First, I wrote my two equations:
5.5x +8.5y = 291.5
x + y = 41
Next, I got the variable y by itself in the second equation. Subtract x to get y = -x + 41. Then, I substituted what y equaled into the first equation. It should look like this: 5.5x + 8.5(-x+41) = 291.5. Distribute 8.5 to get 5.5x -8.5x + 348.5 = 291.5. Subtract 5.5x and 8.5x to get -3x. It should look like this: -3x + 348.5= 291.5. Subtract 348.5 from 291.5 to get -57. Now, you should have -3x = -57. Divide -3 from both sides, to get x = 19. So, there are 19 birds. If you want to go even further, 41-19= 22, which means there are 22 cats. Hope this helped!
Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to
Step-by-step explanation: