# Normal distribution for discrete values

I understand that a normal distribution is a continuous distribution, but I came across this question in my test set that baffles me.

Question:
The toy cars produced in a factory have an average weight of 20 lb. The standard deviation of the individual toy cars is 3 lb. We know the weights of each toy car follow a normal distribution. Compute the proportion of 200 toy cars that weigh 14 lb each.

• Is this the exact question? Or was it "at least 14 lb"? or something like that? – Peter Flom - Reinstate Monica Oct 2 '13 at 11:26
• This was the exact question. And hence why im confused. I'm thinking i should do a P(13.5<x<14.5) but im not 100% sure – james Oct 2 '13 at 11:28
• This is not a very well-worded question, but it is not your fault! The key thing is whether weight is rounded. If it is, then I think your solution is sound. If not, then think about what exactly a "continuous" distribution means. – Peter Flom - Reinstate Monica Oct 2 '13 at 11:32