Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

The probability distribution of X is given in the table. What is the variance of the distribution?

OpenStudy (anonymous):

@rational

OpenStudy (anonymous):

OpenStudy (rational):

start by finding the mean

OpenStudy (anonymous):

um .25?

OpenStudy (rational):

|dw:1432817965592:dw|

OpenStudy (rational):

do you mean `2.5` ?

OpenStudy (rational):

mean = 1*.4+2*.1+3*.1+4*.4 = 2.5

OpenStudy (anonymous):

yes 2.5 sorry.

OpenStudy (rational):

good, find the deviation from mean for each of the data values

OpenStudy (rational):

subtract mean from each data value

OpenStudy (anonymous):

sub. 2.5 to each point?

OpenStudy (rational):

Yes, work \(\large x_i - 2.5\) for each data value

OpenStudy (rational):

|dw:1432818405802:dw|

OpenStudy (anonymous):

-1.5, -.5, .5, 1.5

OpenStudy (rational):

square each of them

OpenStudy (rational):

\(\large (x_i-2.5)^2\)

OpenStudy (anonymous):

-2.25, -.25, .25, 2.25?

OpenStudy (rational):

|dw:1432818549729:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!