The Museum of Science in Boston has an exhibit in which metal balls drop down a chute, bounce around, and wind up in one of 21 bins. After 1000 balls have dropped, the heights within the bins clearly follow a bell-shaped curve. If the standard deviation is 3 bins, approximately how many balls are in bins 1 through 7?

A100
B160
C50
C330

Verified Answer :

if you have 21 bins then the 'middle bin' is bin 11 (starting at 1)

So the 'mean' of this distribution is 11.

The SD is 3

so using the above calculator (or your own tables ) you get that the probability of a ball being in bin 7 or less is .091

A is you answer

A.100 so make sure you put your answer