Question

The mean hourly operating cost of Mango Airline is R2071. Assume that the hourly operating cost is normally distributed.

µ = R2071.00          σ = R220.32

b) What is the probability that the hourly operating cost of Mango Airline is between R200.00 and R2500.00?

Answer 1

Let x = the hourly operating cost of Mango Airline

Given that x is normally distributed with

Mean and

Population Sd =

we want to find the probability that the hourly operating cost of Mango Airline is between 2000.00 and 2500.00

i.e.

By using Z score we can calculate it

where

For x = 2000

For x = 2500

i.e. we want to find the probability that

............( By using Z table)

   ,,,,,,,,,,( Answer)

Therefor the probability that the hourly operating cost of Mango Airline is between 2000.00 and 2500.00 is 0.6006 ,,,,,,,,( Answer)