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Mathematics 17 Online
OpenStudy (hockeychick23):

Find the expected value of the number of questions you'd get right by guessing. What are the variance and standard deviation?

OpenStudy (hockeychick23):

OpenStudy (hockeychick23):

OpenStudy (hockeychick23):

@jim_thompson5910 can you help me please?

jimthompson5910 (jim_thompson5910):

X = number of correct questions |dw:1433396801483:dw|

jimthompson5910 (jim_thompson5910):

multiply X and P(X) to form the X*P(X) column of values

OpenStudy (hockeychick23):

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

now add up the values in the X*P(X) column and you will get the expected value

OpenStudy (hockeychick23):

jimthompson5910 (jim_thompson5910):

so the expected value is 0.5 which means, you expect (on average) to get 0.5 questions right if you randomly guessed

OpenStudy (hockeychick23):

ohhh ok thanks!

jimthompson5910 (jim_thompson5910):

now onto the second part "What are the variance and standard deviation? "

jimthompson5910 (jim_thompson5910):

you're going to have 2 additional columns. I'm going to erase the X*P(X) column to make room

jimthompson5910 (jim_thompson5910):

instead I'm going to have X - mu and (X - mu)^2 |dw:1433397803766:dw|

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