Turtle's limousine service has determined that the number of kilometres each limousine travels each year is normally distributed with a mean of 100,000 kilometres and a standard deviation of 12,000 kilometres.
a) What proportion of these limousines can be expected to travel more than 120,000 kilometres in the next year?
b) What proportion of these limousines can be expected to travel at least 120,000 kilometres in the next year?
c) What proportion of these limousines can be expected to travel exactly 105,000 kilometres in the next year?
d) How many kilometres will be travelled by at least 90% of the limousines in the next year?
e) How many kilometres will 98% of the limousines do less than in the next year?