Hi,

I have one basic doubt. Suppose X ~ N(50,10).

I need to calculate Probability X = 50.

dnorm(50, 50, 10) gives me
[1] 0.03989423

My understanding is (which is bit statistical or may be mathematical) on a continuous scale, Probability of the type P(X = .....) are nothing but 1/Infinity i.e. = 0. So as per my understanding P(X = 50) should be 0, but even excel also gives 0.03989422. Obviously my understanding is wrong. If I put value of x = 0 in the normal density function, I do get 0.03989422.

My confusion is on the continuous scale if the probability (X = x) doesn't make sense, 0.03989423 is significant to neglect.

Please clarify

Regards

Vincy


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