Question

In greece the mean salary in the private sector before the recent austerity measures was 804 euro per month with a standard deviation of 125 euro. assume that the salary of greek workers is normally distributed. what percentage of greek workers in the private sector made more than 489 euro before the recent austerity measures?

Answer 1

Let X denotes the salary of a randomly selected greek worker.

Here,

X ~ Normal(804, 125²)

The probability that a randomly selected greek worker in the private sector made more than 489 euro before the recent austerity measures

The percentage of greek workers in the private sector made more than 489 euro before the recent austerity measures

= 100*P(X>489)

= 100*0.9941

= 99.41%