1 Answer | Add Yours
The temperature recorded by a certain thermometer when placed in freezing water (true temperature 0 degree C) is normally distributed with mean 0 degree C and standard deviation 1 degree C.
What we need to do is convert temperatures into z-scores then look the z-scores up in a table to get the probabilities.
The formula for obtainig z-score is:
z-score = (data point - mean) / standard deviation
For -2.5 degree C we get...
Now look -2.5 up in a negative z-score table to get the probability.
Prob(z<-2.5)=0.0062 or 0.62%
We’ve answered 287,337 questions. We can answer yours, too.Ask a question