A field biologist grabs geese and weighs them. He finds out that the weights of the geese are normally distributed with a mean of 9 pounds and a standard deviation of 1.3 pounds. What then, is the probability that one of these geese snatched at random will weigh less than 10.5 pounds?
We know: X~N(9,1.3^2)
We need to compute P(X<10.5)
The Z-score for 10.5 is ...
In a concise, about 40 word solution, this response addresses how to compute probability from the given standard deviation and z-score values based on the weight of geese. All calculations are included.