I really really need help with this. Can someone please look at it and let me know.

At 100 college campuses, 1200 full-time undergraduate students were surveyed on their credit card usage. Among juniors, 65% reported that they didn't have a credit card in their own name, and 23% reported that they had at least one credit card in their own name and they paid their credit card balance in full each month.

Consider this probability experiment. A college junior is randomly selected. The junior is interviewed and then categorized into one of the following three categories: she does not have a credit card in her own name, she has at least one credit card in her own name and pays her credit card balance in full each month, or she has at least one credit card in her own name and maintains a credit card balance.
Consider the following events.
O = The junior does not have a credit card in her own name
C = The junior has at least one credit card in her own name
F = The junior has at least one credit card in her own name and pays her credit card balance in full each month
B = The junior has at least one credit card in her own name and maintains a credit card balance

1. The events O and B (are, are not) mutually exclusive.
2. The events B and F (are, are not) all-inclusive.
3. Event B (is, is not) composed of other events being considered in the experiment.
4. The set S = {O, C, F} (is, is not) the correct description of the list of all outcomes for the probability experiment because the events in S are (mutually exclusive and all-inclusive, not mutually exclusive, not all-inclusive)
5. Find P'(B) and P'(C), and list the probabilities
P'(B):
P'(C):

I am really confused on this whole problem, I would really appreciate it if someone could help me out!

A recent article in Myrtle Beach Sun times reported that the mean labor cost to repair a color television is $90 with a standard deviation of$22. Monte's TV sales and service completed repairs on two set this morning. The labor cost for the first was $100 for the second. Compute £ value for each and can comment on your findings.

Sure, I'd be happy to help you understand this problem. Let's break it down step by step.

Based on the given information, we are dealing with the credit card usage of junior students at 100 college campuses. The events in question are O, C, F, and B, which represent whether a junior does not have a credit card in their own name, has at least one credit card in their own name, pays their credit card balance in full each month, and maintains a credit card balance, respectively.

Now let's address each question:

1. The events O and B (are, are not) mutually exclusive.

To understand if two events are mutually exclusive, we need to determine if they can both happen at the same time or not. In this case, since having a credit card in their own name AND maintaining a credit card balance means that the junior does have a credit card in their own name, and O represents the event where the junior does not have a credit card in their own name, O and B cannot happen simultaneously. Therefore, O and B are mutually exclusive.

2. The events B and F (are, are not) all-inclusive.

To determine if two events are all-inclusive, we need to check if one event is completely contained within the other. In this case, having at least one credit card in their own name AND paying the credit card balance in full each month is only a subset of having at least one credit card in their own name. So the event F is included in the event B. Therefore, B and F are all-inclusive.

3. Event B (is, is not) composed of other events being considered in the experiment.

Based on the given information, event B represents juniors who have at least one credit card in their own name AND maintain a credit card balance. Therefore, event B is composed of other events being considered in the experiment, namely having at least one credit card in their own name (event C) and maintaining a credit card balance (not given in the events, but implied).

4. The set S = {O, C, F} (is, is not) the correct description of the list of all outcomes for the probability experiment because the events in S are (mutually exclusive and all-inclusive, not mutually exclusive, not all-inclusive).

The set S = {O, C, F} is not the correct description of the list of all outcomes. The missing event is the one where the junior has at least one credit card in their own name but does not pay their credit card balance in full each month. Let's include that event and modify the set S: S = {O, C, F, B}.

5. Find P'(B) and P'(C), and list the probabilities.

To find P'(B), we want the probability that a randomly selected junior does not have at least one credit card in their own name AND does not maintain a credit card balance. From the information given, we know that 65% of juniors do not have a credit card in their own name. Therefore, P'(B) = 0.65.

To find P'(C), we want the probability that a randomly selected junior does not have at least one credit card in their own name. From the information given, we know that 65% of juniors do not have a credit card in their own name. Therefore, P'(C) = 0.65.

So, the probabilities are:
P'(B) = 0.65
P'(C) = 0.65

I hope this explanation helps you understand the problem better. Let me know if there's anything else I can assist you with!