Question

in statistics how do you read these notation?
P(| X − |3 < 25.0 )

Answer 1

do you mean P (|X -3| <25.0)?

Answer 2

yes! my bad

Answer 3

ok, open the absolute value to get the normal form
P( -25.0 < X -3 <25.0) = P( -22 .0 <X< 28.0)
then solve as usual.

Answer 4

Now you can read it as: probability of variable X in the interval (-22, 28)

Answer 5

so the bars just mean that 23 is both positive and negative?
and the -3 means it gets subtracted from the desired mean if i understood right

Answer 6

yes, use algebra to solve the absolute value first.