Chi-Squared Distribution - GRE Quantitative Reasoning
Card 0 of 4
 follows a chi-squared distribution with
 follows a chi-squared distribution with  degrees of freedom and
 degrees of freedom and  through
 through  are independent standard normal variables.
 are independent standard normal variables.
If  , what is
, what is  ?
?
 follows a chi-squared distribution with 
 degrees of freedom and 
 through 
 are independent standard normal variables.
If , what is 
?
Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with
 squared standard and independent normal variables follows a chi-squared distribution with  degrees of freedom.
 degrees of freedom.
Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with 
 degrees of freedom.
Compare your answer with the correct one above
 follows a chi-squared distribution with
 follows a chi-squared distribution with  degrees of freedom and
 degrees of freedom and  through
 through  are independent standard normal variables.
 are independent standard normal variables.
If  , what is
, what is  ?
?
 follows a chi-squared distribution with 
 degrees of freedom and 
 through 
 are independent standard normal variables.
If , what is 
?
Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with
 squared standard and independent normal variables follows a chi-squared distribution with  degrees of freedom.
 degrees of freedom.
Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with 
 degrees of freedom.
Compare your answer with the correct one above
 follows a chi-squared distribution with
 follows a chi-squared distribution with  degrees of freedom and
 degrees of freedom and  through
 through  are independent standard normal variables.
 are independent standard normal variables.
If  , what is
, what is  ?
?
 follows a chi-squared distribution with 
 degrees of freedom and 
 through 
 are independent standard normal variables.
If , what is 
?
Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with
 squared standard and independent normal variables follows a chi-squared distribution with  degrees of freedom.
 degrees of freedom.
Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with 
 degrees of freedom.
Compare your answer with the correct one above
 follows a chi-squared distribution with
 follows a chi-squared distribution with  degrees of freedom and
 degrees of freedom and  through
 through  are independent standard normal variables.
 are independent standard normal variables.
If  , what is
, what is  ?
?
 follows a chi-squared distribution with 
 degrees of freedom and 
 through 
 are independent standard normal variables.
If , what is 
?
Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with
 squared standard and independent normal variables follows a chi-squared distribution with  degrees of freedom.
 degrees of freedom.
Use the fact that the sum of  squared standard and independent normal variables follows a chi-squared distribution with 
 degrees of freedom.
Compare your answer with the correct one above