A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in the data set is greater than or equal to 162? The probability is about __

Answer 1

Prob( x>162) =

1 - Prob( x < 162) =

1 - Prob( z < (162-115)/23)

1- Prob( z < (2.043478261-))

1 -

=

just over 2.05%