Hi everyone, Apologies for the repeat question. I posted against the previous video but unfortunately no responses so far. As we all know, Eddie is a fantastic, charismatic and enthusiastic math teacher and I'm sure he is must be correct in his video above. However, there was something he said that challenged what I thought I knew about the importance of Independence in Probability. For multiplication of probabilities to be valid, the two events MUST be Independent i.e. like flipping a coin multiple time. In this example, the relationship between the Manager and the Failure rate is clearly dependant - for whatever reason, increased Manager time results in less failures! Whatever this manager does (or doesn't do) somehow affects the failure rate of bulbs. The person above/below talks about "correlation" but as far as I can understand, that's irrelevant because independent events have a correlation of zero i.e. they are unrelated? Really hope someone can explain please otherwise my understanding is all screwed up!! Many thanks, Pete
P(D|~M)=P(D)=3% , P(~D|~M)=P(~D)=97%. It's easy to proof that events are independents. Construct a Venn Diagram with ~D and ~M events or construct a Venn Diagram with D and ~M events. Then professor have an error tree diagram.
Glad to know my intuition on this topic works!
Hi everyone, Apologies for the repeat question. I posted against the previous video but unfortunately no responses so far. As we all know, Eddie is a fantastic, charismatic and enthusiastic math teacher and I'm sure he is must be correct in his video above. However, there was something he said that challenged what I thought I knew about the importance of Independence in Probability. For multiplication of probabilities to be valid, the two events MUST be Independent i.e. like flipping a coin multiple time. In this example, the relationship between the Manager and the Failure rate is clearly dependant - for whatever reason, increased Manager time results in less failures! Whatever this manager does (or doesn't do) somehow affects the failure rate of bulbs. The person above/below talks about "correlation" but as far as I can understand, that's irrelevant because independent events have a correlation of zero i.e. they are unrelated? Really hope someone can explain please otherwise my understanding is all screwed up!! Many thanks, Pete
It's easy to proof that events are independent. Trace a different Venn diagrams with D and M, D and ~M, ~D and ~M events. Or ~D and M events.
I really like the way you teach
I have a math final exam in 2 hours, I just wanted to say thank you for helping me a lot! You’re the best teacher
First to comment .... big fan! 😂
P(D|~M)=P(D)=3% , P(~D|~M)=P(~D)=97%.
It's easy to proof that events are independents. Construct a Venn Diagram with ~D and ~M events or construct a Venn Diagram with D and ~M events.
Then professor have an error tree diagram.
Wich grade this is ?
This is a wonderful way to teach 👍
Tremendo.