The probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade is: D. 0.80.
<h3>How to calculate the probability?</h3>
In this exercise, you're required to determine the probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade. Thus, we would apply Bayes's theorem.
- Let S represent studied for.
- Let B represent a score of B or higher grade
Therefore, we need to find P(S|B):
![S|B = \frac{B|S \times S}{B|S \times S\; +\; B|S' \times S'} \\\\S|B = \frac{0.55 \times 0.6}{0.55 \times 0.6 \;+ \;0.2 \times 0.4}\\\\S|B =\frac{0.33}{0.33 + 0.08} \\\\S|B =\frac{0.33}{0.41}](https://tex.z-dn.net/?f=S%7CB%20%3D%20%5Cfrac%7BB%7CS%20%5Ctimes%20S%7D%7BB%7CS%20%5Ctimes%20S%5C%3B%20%2B%5C%3B%20B%7CS%27%20%5Ctimes%20S%27%7D%20%5C%5C%5C%5CS%7CB%20%3D%20%5Cfrac%7B0.55%20%5Ctimes%200.6%7D%7B0.55%20%5Ctimes%200.6%20%5C%3B%2B%20%5C%3B0.2%20%5Ctimes%200.4%7D%5C%5C%5C%5CS%7CB%20%3D%5Cfrac%7B0.33%7D%7B0.33%20%2B%200.08%7D%20%5C%5C%5C%5CS%7CB%20%3D%5Cfrac%7B0.33%7D%7B0.41%7D)
S|B = 0.80.
Read more on probability here: brainly.com/question/25870256
#SPJ1
<u>Complete Question:</u>
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.
Answer:
apples juice, salad oil, salt water
Explanation:
they feared that the new national government would be too powerful
Answer:
Mmmm...food.
Uh, anyway, the difference is a taco is shaped like a U, while a burrito is wrapped up.
- Here's a visual difference.
<em>I hope this helped at all.</em>
Answer:
number of fingers. Because that's your own body that you are born with and that can't change.