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BeccaB003
 one year ago
Question about probability. I appreciate the help!
BeccaB003
 one year ago
Question about probability. I appreciate the help!

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BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0This table is an example of the principle of independence. This table is not an example of the principle of independence. There is not enough information to answer this question.

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0I need help understanding principle independence. @jim_thompson5910 Thanks!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1How many people have a membership?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1this is out of 70 people total so P(has membership) = 40/70 = 4/7

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what is the probability a person attends one or more of the classes offered?

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.031that is if we are talking about people with and without memberships. Only with memberships is 17 and without membership is 14.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so the probability someone attends 1 or more classes is 31/70

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now IF the two events (shown below) * has membership * attends 1 or more classes are independent, then P( has membership AND attends 1 or more classes) = P(has membership) * P(attends 1 or more classes)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1does that look familiar?

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0Yes, it does. So, P(40) * P(31) =1240 Right?

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0And the answer would be: This table is an example of the principle of independence. (choices listed above)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1P( has membership AND attends 1 or more classes) = P(has membership) * P(attends 1 or more classes) P( has membership AND attends 1 or more classes) = (4/7) * (31/70) P( has membership AND attends 1 or more classes) = 62/245 do you see how I got that?

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0oh! *slaps forehead* Yes, sorry I wasn't thinking and ignored what you'd said before about the problem. I understand it now.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1how many people fit these requirements has membership AND attends 1 or more classes

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0Isn't that just what we solved for? 62/245? And how does this correlate to the principle of independence?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1look for the "has membership" row and the "1 or more classes" column what number is there?

LynFran
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 when you finish here can u please visit the link in ur notification this question needs a 2nd opinion thanks

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1since it's 17 out of 70 total the actual probability P( has membership AND attends 1 or more classes) should be 17/70

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1and not 62/245

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you only multiply IF the two events are independent thinking in reverse, if you can multiply and get the same result as looking in the table, then the events are independent

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1but 17/70 is not equal to 62/245 so they are not independent events

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much! You explained everything very well. So, this table is not an example of the principle of independence because the two events don't equal each other?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1correct, there is some connection between the two events (one event is dependent on the other somehow)

BeccaB003
 one year ago
Best ResponseYou've already chosen the best response.0Okay, thank you so much. You are amazing!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're welcome
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