Question 2

The distance, in kilometers, travelled to work by the employees of a city council is approximately normally distributed with a mean of 7.5 km and a standard deviation of 2.5 km.

a)What is the probability that an employee travels more than 11 km to work?

b)Find the distance such that 10% of the council employee's travel less than to get to work

c)Find the probability that the mean distance travelled to work by a random sample of 4 of the council's employees is less than 5 km.