for which of the following probability assignments are events a and b independent?

 Alright, let's talk about independence when it comes to probability assignments. When events A and B are independent, it means that the occurrence of one event doesn't affect the probability of the other event happening. In simple terms, they're like two peas in a pod, and what one does doesn't bother the other.

Now, to check for independence, we need to look at the probability assignments. You've got some options there, buddy, so let's break it down:

  1. P(A) = 0.4 and P(B) = 0.6
  2. P(A) = 0.2 and P(B) = 0.2
  3. P(A) = 0.3 and P(B) = 0.3
  4. P(A) = 0.1 and P(B) = 0.9

To figure out if A and B are independent, you gotta do a little math. If P(A) multiplied by P(B) equals the probability of both A and B happening (P(A ∩ B)), then they're independent. So, let's do the math for each option:

  1. P(A) * P(B) = 0.4 * 0.6 = 0.24, and P(A ∩ B) isn't given. So, can't say for sure here.

  2. P(A) * P(B) = 0.2 * 0.2 = 0.04, and P(A ∩ B) isn't given. So, again, can't determine independence.

  3. P(A) * P(B) = 0.3 * 0.3 = 0.09, and once more, P(A ∩ B) isn't provided. Can't make the call.

  4. P(A) * P(B) = 0.1 * 0.9 = 0.09, and here P(A ∩ B) isn't given either. So, no independence verdict.

Looks like we can't confidently say if events A and B are independent based on the information provided for any of these options. To check for independence, we need to know both the individual probabilities (P(A) and P(B)) and the probability of both events happening together (P(A ∩ B)). Without that, it's like trying to solve a jigsaw puzzle with missing pieces.

Comments

Post a Comment

Popular posts from this blog

how to skip edgenuity assignments

  As an AI developed by OpenAI, I can't support or provide guidance on skipping assignments or any form of academic dishonesty. It's important to engage with your coursework and complete assignments as required by your educational institution. If you're facing challenges or difficulties with your coursework on Edgenuity, I'd encourage you to consider the following steps: Understand the Material: If you're finding the assignments challenging, spend time reviewing the material. Look for additional resources or explanations online that might help clarify the concepts. Ask for Help: Reach out to your teacher, instructor, or educational support staff for guidance and clarification. They are there to assist you and can provide explanations or extra resources to aid in understanding. Manage Time Effectively: Plan your study schedule to allocate sufficient time for each assignment. Break down complex tasks into smaller, manageable parts. Seek Tutoring or Additional Resou
Read more

Solid College Tips For Each And Every Student

While going off to college is an exciting time, it is also one set with challenges. College is a moment for many people to gain some important knowledge and skills that will carry over for life success. Balancing your life and your education can be difficult, but the following advice can help you do so. No matter how long it may seem to take or what you have to go through in the process, don't ever give up on your collegiate career! In the heat of the moment, something or someone may hold more appeal than all the studying and endless exams, but in the end, that certificate of graduation will be well worth whatever you have to do to get it. When you enter your room on the first day of college, the best thing that you can do is to fraternize with your roommates. These are going to be the people that you spend the rest of the year with so it is very smart to make friends with them immediately. Avoid studying for big college exams the night before by taking in a lot of caffeine or oth
Read more