Question

In: Statistics and Probability

The proportion of the standard normal curve that falls between the mean and a Z-score of...

The proportion of the standard normal curve that falls between the mean and a Z-score of 2.15 is .4842.

true or false

Solutions

Expert Solution

TRUE

µ =    0                              
σ =    1                              
we need to calculate probability for ,                                  
P (   0   < X <   2.15   )                  
=P( (0-0)/1 < (X-µ)/σ < (2.15-0)/1 )                                  
                                  
P (    0.000   < Z <    2.150   )                   
= P ( Z <    2.150   ) - P ( Z <   0.000   ) =    0.9842   -    0.5000   =    0.4842

Please revert back in case of any doubt.

Please upvote. Thanks in advance.


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