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Question:

Calculating Standart Deviation?

I have a problem here.A certain crane loads trucks, the time it takes to load is a normal distribution and has a mean of 10 and a standart deviation of 1,5So if I have two cranes?? The mean will be 5, but what will be the standart deviation??P.SI'm also not sure if the mean will be changed to 5 I just think so

Answer:

The mean will definitely half, as two cranes would require less time to move the trucksEach crane will also follow a standard deviation halved (So of 0.75), as the likelihood of each truck having values very far away from the mean becomes less tooThis is because the likelihood of having 11 or 9 trucks was quite probable, however as 4 and 6 are much higher portions of the average value of 5, the S.Dmust go down accordingly However, the product of both likelihoods, means the cranes collectively will follow a probability distribution with S.Dof 1.5Both cranes have smaller probabilities of having a value of trucks different to 5, but as both have probabilities of not having 5 trucks each, the product of the two cranes together will be a stretched out normal distribution, with the original S.Dof 1.5 This means, two cranes halves the time taken, but doesn't effect the likelihood of finishing in certain times.
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