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:

Rodents

A large order of mammals characterized by two continuously growing incisors in the upper and lower parts of their mouth, which must be kept short by gnawing.

Teeth

Hard, calcified structures in the jaws of many vertebrates, used for biting, chewing, and sometimes for defense.

Grow Continuously

A process referring to entities that do not stop increasing in size or number over time, either naturally or through external intervention.

Birds

Warm-blooded vertebrates characterized by feathers, beaks, and typically the ability to fly, with some exceptions like ostriches.