ASSUMING THE DISTRIBUTION IS NORMAL, IF THE MEAN NUMBER OF WIDGETS MANUFACTURED IS 25, WITH A STANDARD DEVIATION OF 3, WHAT IS THE PROBABILITY THAT THE NUMBER OF WIDGETS IS GREATER THAN 28?

Question

anonymous · Answer

Do you know what a normal distribution is and what the standard deviation signifies?

anonymous · Answer

a little

anonymous · Answer

Ok, here is a picture of a normal distribution with the different portions of the graph labelled for each standard deviation. Since the standard deviation here is 3, you must find out how many standard deviations 28 is from 25 (the mean) and then, using that graph, figure out what is the probability of it being 28.

anonymous · Answer

^the picture http://2.bp.blogspot.com/-egruyHBsK3g/UC0lKYX_OnI/AAAAAAAABNc/bG4I_1AIFOM/s1600/325px-Standard_deviation_diagram.svg.png

anonymous · Answer

oh ok the graph helps