If You Add Several Normally Distributed Random Numbers,the Result Is

question 30

Essay

If you add several normally distributed random numbers,the result is normally distributed,where the mean of the sum is the sum of the individual means,and the variance of the sum is the sum of the individual variances.This result is difficult to prove mathematically,but it is easy to demonstrate with simulation.To do so,run a simulation where you add three normally distributed random numbers,each with mean 100 and standard deviation 10.Your single output variable should be the sum of these three numbers.Verify with @RISK that the distribution of this output is approximately normal with mean 300 and variance 300 (hence,standard deviation = 17.32).

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Definitions:

Equilibrium Price

The price at which the quantity of goods supplied is equal to the quantity of goods demanded in a market.

Quantity Demanded

The total amount of goods or services that consumers are willing and able to purchase at a given price level.

Demand

The amount of a particular good or service that consumers are willing and able to purchase at various prices during a certain period of time.

Midpoint Formula

A more precise way of calculating percentages using the value halfway between P1 and P2 for the base in calculating the percentage change in price and the value halfway between Q1 and Q2 as the base for calculating the percentage change in quantity demanded.